{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "9c73534d",
   "metadata": {},
   "source": [
    "# 检测噪声中的失真信号"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5d19019f",
   "metadata": {},
   "source": [
    "噪声的存在常常使确定信号的频谱内容变得困难。在这种情况下，频率分析可以提供帮助。\n",
    "例如，考虑引入三阶失真的非线性放大器的模拟输出。\n",
    "输入信号是以 3.6 kHz 采样的 180 Hz 单位幅度正弦曲线。生成 10000 个样本。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "2955e3ab",
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy import signal\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "N=10000\n",
    "n=np.arange(0,10000)\n",
    "fs=3600\n",
    "f0=180\n",
    "t=n/fs\n",
    "y=np.sin(2*np.pi*f0*t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "929a9b91",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<function matplotlib.pyplot.show(close=None, block=None)>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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NU1Rbb3rasm0b+f7EGljUdWs/ryypI80OvWp3RO0cLRGJ/iWioHgauBeQgf+PAFc03ElK+SzwLOgLF3WlxXDU4j6dk470bVdxDSzIB2DgoCHk5Q2LXMMigLpu7Sd51QLSku3k5c2I2jlaIhL9i7ePohFSykNSSr+UUgOeA6bFu00KRbQJ9lFoKuqpS+HTJF6/1mj7K0t3cd+nG+LQoraTcIJCCNE76O1ZwLrm9lUougoq4a7r4vNreJsIUJi/pZhvNhXGoUVtJ66mJyHEG0AekCOEKADuBPKEEBPRTU+7gKvj1T6FIlb4VB5Fl8Xrb1qj8Pi1TnOt4yoopJQXNLH5PzFviEIRZ7QYZ2ZrmuTa137i0pmDmDk0J+rnO5zxaRqepgSFz99pQqETzvSkUByO+GJsenL7NL5cf4jluxoFFCoijK85jcKnhSRaJjJKUCgUCYA/aMDwx2CWacxwmxrAFJHF69fw+hpfU49fUxqFQqEIn+DxOhYahdcUFJ1joOrMNBf1pGsUneP3T8Q8CoXisCOk1lMMBg9jJqs0iujj80s8lmYERSf5/ZVGoUhIXlm6ixcX74x3M2JGsAM7FrNMQ0B0loGqM+PTtE6vUShBoUhIXv1+Dx+s2h/vZsQMX4xrPRkDl0eZnqKKpkk02bSJz+NXgkLRCfnX/O0s2V4c72agaZKdJTW4fYfPbDfY3BQLB6cxcCmNIrp4AyZFvyYbhT27fXoehewECZZKUChMnp6/nY9Xx38Wv7+iDo9Pw+Pzx7spMSPW4bFeFfUUE4KFfsPf2hOYCHUGrUIJCoWJ16fhaSKML9bsKq4FOKw0ipAy4zH0UXg7wSDVmWlOUEgpzRDlzpCdrQRFC/y0u4x/zd8e72bEjOZKDcSancXVwOErKGLjzA5EPR1Gv3E88AZFswULDZ8mMRTHRHjmWkMJihb4cNU+Hpu3Jd7NiAnGDCcRbtodxTVAvWp+OGAICptFxNSZ3RnMHp2Z5jSK4HtbaRSdHLdXw+XVDouyz8aAkQiCYmdAULgPQx+Fw2aJycChfBSxIUQ4NCMoOkPSoxIULeAKDFR13vgPWJsPVvHrF3+M2uBp3LiJYO7ZGaRRdIaIkEigxVxQJM7EoCsTfC2DBUKw0FAaRSfH7dUvZq0n/oJi+e5SvtlUSGGlOyrHT5QZpsensbe0FofVgiYPH9OIqVFYYyMofKqER0wIzrhvzvQU72cuHJSgaAFj9l6XAILCEFpNlSuOBJ4EGTj2lNaiSRjaMw1IDA0nFhhFAR02C7G4BJ7DLDNb0yTbi6pjft4QLSLoXnYrH0XXwRUYnBPB9GTcWNGafSSKKeJARR0AQ3JSgcPHoW1oFE6bJaSSbLQwrndTmdnr91dQWOWKehtiyUtLd3H8o/MpqoqORt4c4TizO0OpcSUoWsDQKGo9vji3pL4t0craNcIk4z0wG+fPSLYDh49D22/6KKwxNT01pVFc+vwy/vld1wkLl1Lyyve70SRU1Hliem5viOmpaR9FZzCvxlVQCCGeF0IUCiHWBW3rLoT4WgixNfC/W7zaZ2oUiWB68sXG9BSt44fdDkNQJOmFjQ2TW1fHFBRWQSwmmM35pCpqvRRXe6h2x39y1B78mmzU9u93lLKjSA+QcMX4fgpLo+gEfqJ4axQvAic12HYb8I2UcjjwTeB9XKjXKBJAUARu8GglSHmibNoKux2B86c5bSHvuzr1pidrTEwRHtPUGDpI7S3Ts+LjrVm2lzd/3EPeQ9+FhLS/9sNu87UrxmZkXxjhsUqjaAUp5QKgtMHmM4GXAq9fAn4eyzYFY8w+ahPAR+Hx622IlrPZnGHGuYSHoTmlHWYaRUh4bAwuga8ZjWJvaecWFPvK6iiu9pih7aBrFAOzU4A4aBTB4bG+YKFR375wfVLztxRx7CP5cbk2ibhwUa6U8kDg9UEgt6mdhBBXAVcB5Obmkp+fH/GGVNXqDr1Va9eTURa7DO3q6upG/dm9V3fCrVi1Ct++yF+2zaX6jVvjckXltzRoqm/BrNvjBaBg5zYAvv9xOSXbrFFrTyRprW8tsW2HbjuvrCij0i2jeg0ANm/Xz1fncoecK3+n/vsfKCwK2d6RvsWS7bv05+Sb/IWkOwQANS433e36nPjHlY2fn2j2bVVhvRls1dp1OIo2AbDiYP32H39aSdXO1u/xz3Z62F7k5Ytv5pPhFGG3IRL9S0RBYSKllEKIJudXUspngWcBpk6dKvPy8iJ//vwvAR8DBg8jb9bgiB+/OfLz82nYn/cOrIR9+xk5eix5Y3pF/Jz2bcWw7Aew2BqdO5I01bdgdizaCRs2cOTEcfxn3U+MGTeBmcNyotaeSNJa31piuXsz1p3b6ZmTg7e8jry82ZFtXANWerfA1q2Nrve88rXAHjKyupGXd5S5vSN9iyXfVayDXbuZPG06fbOSAfB//TkDeuWwpayQ4SNHkze+T8h3otk39/qDsOInAEYcMYq8SX0BqFi1D1atAmDc+AnMCuMeX+vfCpu3MPWo6fQJ9C0cItG/ePsomuKQEKI3QOB/Ybwa4k4g05PhL4mW6cmTKFFP/gbO7E5qAmkrfimxCoHVEuvqsQ1NT3p4crzvg/Zi3D+GL8KoYWZE0cXTmd18CY/w2uRpxlwYCxJRUHwEXBp4fSnwYTwaoWn1ZYATKeopWo7OeN6EwXgb+ig66YDVVvyaxGoRWC0ixutRNHBmGz6KThpEYNwvhqBwm1F08Qm3bjYzux0lPNxxnMzFOzz2DWApcIQQokAI8WvgfuB4IcRW4LjA+5gTPEAlUtRTtG4S4ybWZHwzRT1+DSEgxWEIivj/9rHA55fYLAKrJba1nvyaNDUYTZMUlHVyjaI5QREnjSJYEIc4s9tRFNAT5RD5loirj0JKeUEzHx0b04Y0QfAAlQiCItolNoJnO16/htUSHweyx6fhsFpw2vQ5zOGiUWhSYrEIrCI2gjrkemsaTouVQ1WuhNEs20u9oAidWGWagiJ+4bHNlfMIX6PwN/purEhE01NCEDxAxfrmaop6H0WUNApf07bUWOP2aThsFpyBKJXOOrM18Pk13vpxb6uDgU/TsFkEFouIuaAw7OiGfyIrxd5pf/eG5mLjuUl32hAC3DF+loNXEGw+jyK83/qwNT0lMsHCISFKeHijO9NzB8984jhIePwaTpsFp1XXaDq7RrFsZym3vruGFXvKWtzP8FHYYiQomsoYNvwTw3qkxb04ZHsxNYoGs2+nXddSXTG+n/wNNHUDTxOCujXq673F/tooQdEMCeejiPJNEpoMFEdB4dOwW7uORlETuHdqWimJ4fPH1pntaWLQKqnRcxD6dkvutALauF/qNYqAoLBZSLJbY2960hoLZGifRlHvo4j9eKQERTME31CJEfUUZdNTiEYRR2d2wPTksBo+ivj/9h3BaH9rTlS/DBIUEdIonpm/ndvfW9vkZyHrNwdeG23MSLLj6aS/uxke22AhLqfNSpIt9oLCmNgJob+WUv9zhwiKNjqz4/B8JnTCXTwJnokklkYRfUERb43CYbVgsQjsVtFpZ7YGhsmwNYHn1wJRTyJyguLHnaXNrsHQMHgB9HL6DquFZIe185uePKGmJ4fNQpLdEoc8Cv18yXYrHp/Gre+sodbjJzPFjkXoUYbhm54CfVJ5FImDMfPoluJIiPUoPG0wPT3y1WZufGNl247fTJXLWOP16xoF6LPAzm56cpkaRcv3kC/go7BYRMQS7tw+rdmB0dNENI7L68dpt2C3ik6bR9E4PFb/b5ieYq2hGs7sJLsVr19jW1E1mw9V4fFpZgh42zUKJSgSBmMm2C3VkSCmp/A1inX7Kth4oLJNx29qhhkPPEGCwmGzdH7Tkzc0XLM5tCBndqSqibp9/pDieME05cx2ef0k2604rPqaGJ1h5bWGmAl3vsYahdMWH43CZhE4rBa8fo0at4+KOm9AUFjNfcIh2laFllCCohmMi9ItxR73qCefXzMf2nBuErdPa/NDHjxLiecs3h0wPYE+C+zs1WMbZgo3h65R6Ca3SDmzdY2i6fM2FR5b5/GTZLeagroz5lLUh8c29lE44+TMtlkFdpvA65dUu3xU1DYQFEqj6LyYpqfU+Juegu304Ty8Lq+/zYNNQvkobPWCorOaQAwMjag1X0uwjyJipievbnqSTdwL3kAGPATXR9JItluxW0VYbU5EGobHNjQ9xTo81ueX2C0W7Fb9Xq52+/D4NSrqvPWmp3Azs1Wtp8QjWKPw+mVcZ1ehgqL1m6o9GoW3CZt1PPD4NDMr23EYaRR+Tc/MjrTpKbgNwXj9kmR7qOmjzusnyV6fFd8pNYqWnNk2S8wT7nyahs2qm548Ps1cfa+wykWS3YIQ4a9HUR8YoQRFwhDszIb45lIE2+nD1SjaOisNDrmLd8Kd3RrkzI7BYKVpkv/+uCcq/hDjPmo1PDagUVgswmxTx8/dvJDy+utNH8HO7CS71fz9O2MgQX14bGLkUXj9EptV1yiqXF6My1pU5cZhs2CziJDs7ZYwlytWgiJxMG6wrICgiGcZj7aWJHZ5tTbPShPGme2LvTN77b4K/vjuWuZvLor4sRs6V5vDp2l6HkXAHhQJP0VLORw+TZqmD6PUuCEoOquPItgBX5dA4bH2QKh3WY3X3F7p8uGwWbG1oQikoQ0p01MCYTxkWYFiYvHVKNpuetLaONB4fHp0BiSAjyLGzmzDHFBe521lz7bjbmFWH4xfC6xHEfAPRCLiqCWzV7Az1WvuZ/goYqdRuH1+lu0sjcixgtvramCmcdqsAR9FPJzZukZRVusJ+cxhDWgUbVyPImE1CiHELCFEauD1RUKIR4UQA6PbtPji8uoDVqpTn3XFM/IpeLAMK+rJ62+Xj8IYOOJpcgjNo4iNM9sor1EZDUFhmEC8GmU1Hs58ajEvLN7ZyLTkD0THmBpFJAVFE4Oj16+R3CDqxvBRGL9/LGzhn689yHn/WsrBCleHjxV83xoBKG6vHyHAbhVxiaLz+gM+CpuF8trQ+8tps2CzhpdgqWnSnCQmskbxNFArhJgA3AxsB16OWqsSALdPTz4yBs945lK01UfRrvBYv0ZaQCjG25ntiLEz2xhUoiMo6mf124qqWb23nLs/3sAdH4SW1gheuAg6bnoKDqlu3vRk+CiC8igcsTU9GbPs8jpPK3u2jjuoBpKZcOfXJ3xCCFOjaCoKLFoY64wYUU/BOGwWrBZLWM9bU7W5Ykm4gsIn9V/3TOAfUsqngPToNSv+uLwaTpvVfJgSwfRktYhW6zD5AyvztXVC6vVrpvYU1wivBpnZsfBRGNe2IgqCwnRm+/ymiatPZhKLthWH7OczTE+GoOigsG6tTL7Xp5FsD50Y1Hn9OG1W0/QXC82y1iya2PHrHNxeo/9ub30UXZLdipSxHWj18vEWM+Q4GIdV3x5O1JO7ib7FknAFRZUQ4nbgIuBTIYQFsEevWfHH7dPV8OSEEBT6uVMd1kZrHDe3b1uXTPX6JSlxFhRSSj081lqvUcRisDJNT67ImxeDB6zawGDYv3sKVQ3OFWmNIqSoZVM+ipCop/o2hmoU0Z95GybdSJh2zZLiNku9M9uv4bBZze0Q21XufJrEbhWm3ycYXaMQYeVRhFoVErfM+C8BN/BrKeVBoB/wUNRaBQghdgkh1gohVgkhlkfzXE1hzESMWPNEiHpKc9paHcQNU01bl9b2+DRSDR9FnASF8QAE+yhiMXuqi6JGEewnqAkMhr0yk6hy+UJMIKaPIkLhsSEz0CbuXZ8mSXXW51EYmmiSLciZHYNy1oYmERGNInDfZiTb68NjG2gU+rbYPcu+QHisI0hQZATWg3fYdCd3OBGKoZUTErTMuJTyoJTyUSnlwsD7PVLKWPgo5kopJ0opp8bgXCG4ff6A6clwZkf24ryxbA9/fGdNmG0JCIokW6umJ+MBaU9mdkec2aU1HnY0U6k0XIwHPSSPIhbmj2j6KILyKAzNpVdGEn5Nhsxs/ZrEIuqd2R1NunM3EQFkoAXCSA3Tk8cvzYlQssMSY9NT5DWKzGR7yAp3DQVFLDUKb6DWU7BG0a9bChCkUbTR9JRwGoUQokoIUdnEX5UQom1V5zoZbp/WwPQUWbPE/M1FzNt4KLy2eNuuUfg12Sanncev4bRbdT9IOzSKx77ewq9f6pjiFxzzbvzv7BpFcDVTY7LRKzMJgCpX/fn8MjThrqNRT8GmiobasGG+DC5KZ5ingvMoPDExPQU0ighMxIzfOiPJpoeIazIkOCIpsBhWLENkddOTBbtNv64WUX/9jfDYcExP8a7F1uJ6FFLKeDqsJfCVEEIC/5JSPhv8oRDiKuAqgNzcXPLz8yNy0nKXRrUXDhW7sQpYvnQRAli7aRv5/j0ROQfAzv11VNVpTba7uro6ZPvaPfqA4qmtoqqm6e8Y7K2qv4m+y8/HIho70ZqiqrqWsmI3ViHZvnMP+fkHw/qewcadLg6W+1u9Dg37FkyZS2/7ru3byPfu5kCBB49f49vvvgu7H+1h+259ZbeiipoO3UdN9a28Wl9etLLGxYYtO7AKOLR7OwDzFiyhT5o+eFXX1FFU6GGrX3dyL/3+e7antD/NaUdF/WC4duNmetXuMN/XBbTSgwW7Adi8bTv5tfrr3du3klSm77tm3XoyyrY027dIsPeAy2xjvmtnh461oSTgn6urAuDr7/I5UOjG45Xk5+eztVCf7C3+fhn7M63m96LVN4DS8jrS7YJD3nIAkqzgqtTzRvbt2UVdrZ9D/tpWzx98PQtLStvU3kj0r00LFwkhegJJxnspZeRGzsYcLaXcFzjn10KITVLKBUHnfhZ4FmDq1KkyLy8vIie9/b01fLOxkF6Z6WSnOjj2mGl0W/w1aTm9yMsbF5FzANy3Yj4erZrZc35m2qUN8vPzCe7PtoU7YMNGBvTuQfHuclrq66q95bB4MQBHz/6ZOZtqDeuSb+jfpwfrSg/Qq09f8vLGtKk/L+xYhquwiJ/97GeIFgb1hn0LZm9pLeR/x9jRI8mb2p/1chts38zMo+eYZoNo8Pb+FbDvAC5NtPjbtkZTfRMLvwY8SGElp1cf0g7u56jJ43lmzY+MGj+JSQO6AWBf8g19++QwdlgOrF3FlCOnMbRHWrvbkrKzFJYuBaD/oCHk/Wyo+VlZjQfmfc3oI4bD1g30HzCIiRN6w/wFTBg3hmmDusOCbxg6/Ajypg1otm+R4JktS6GolF79BpGXN6JDx5KbC+HHHxncN5c1RfuZNn0WadtXkKxJ8vJmYN1aBCuWMXbCJI4c1N38XrT6BvDg6oX0zEpmSI9U2L2DrNQkjhjciyX7dzFyxDC2uQ6QkWwnL29ai8cxrqfNIkhJyyAvb1bYbYhE/8JNuDtDCLEV2AnMB3YBn3fozK0gpdwX+F8IvA+0/EtGiJJqD4VVbvaXu3AGoiVy0hyUVHc8zjuYskDyTU0YJi3D/JLqCMf0VD/zaEt2tsevYbfpiUHtMT3VefxI2TFfjruB6ckZo8Qvw/Tk8moRD8cNdWb7SXVYSQs4M4Mjn8wy4yIyzuxgc1Nzpiez1pC/foGj4OqxsQyPrW1lTfFwqDc96QGZLp/fzIeCYB9FLE1PoT6KtCQbWcl6WSC7aXpq/Xf2BPkpEzYzG7gXmA5skVIOBo4Fvo9Wo4QQqUKIdOM1cAKwLlrnC8aIdS+udps2zexUJ8XV7oidQ0ppJhrVhhHtYQqKMHwUwWWU22Ln9vr0Ynx2a/tCUg2BV9OBBz44vBHAaUSpRMGmrGmSbzcdQkoZ4n+qrIusL6p+rXNJlctLqtNGehOCQgv4KIwyKpF0ZjcMjzWcoUbYpk+TQT4KS0wT7oz7JZI+isxA2Z06j18Pjw0M0km22Duz9ainIEHhtJGVorfPEcjMDudaG/dRmtOW0Al3XillCWARQliklN8B0YxEygUWCSFWA8uAT6WUX0TxfCbVQQOdqVGkR1ZQVLp85iAenkahR27os/2Wb6pgjaItg43xQNmt7dMojJlhVUcEhb+BRhHF6Jvvd5ZwxYvL+Wl3WYgWVOmKnEPbHyi7YDiNS2s8pDhtpAdmvMHObJ9fM5dCNb7bEYKFa8PsdqO2k92qD1SeoAWOgms9xTKQoM7jo9Ll5bGvt4S94ltDTI0iWRfELq+mh8faGzizo6hR7Cqu4Q9vr2ZboR4B2NCZneq0mYJMd2Zb2qZRhDFZjAbhCopyIUQasAB4TQjxOFATrUZJKXdIKScE/sZIKe+L1rkaEjzLc5oaRWRNT2U19ccKS6MIxIKHU0AsWKNoi/nCqLEUjjBqitoIahQOayBByh69Acu4nkVVbmo9fjNfpqXIp2fmb29TCLAxWBsDQ0mNhzSntUmNwky4M0xPHUy4CxYODQdGIxzTHojv92maOWAn2WObmV0TFPX03aZCHv9mK+v2ty+g0ng2TI3C6w9ZMTEWpqcXl+zinZ8KOPWJhXy94VDIUqgA6Uk2MhtoFOFMCoxJVJozsU1PZwJ1wO+AL9BrPZ0erUbFk+CH17ixeqQ7qXL7InaDlQZVkQzXR+EIJEL5Wgl7DdYows2l8GsSTVJvemqPRhEQeNUREBSGjdwwQUXjwTCuc3mdlzqPn96BkMXmcilq3D7u/3wTn6w5EPY5jMHaGLhKazykOGykOWwIEap9GeGxRvXYSJme9HWiQ+9bY+0Ru1Vgs+plYYwJRpLdiiVQFjsWM1dDQNV6fGbRvPLa9k3KzIS7gMbm9voDC2GFTjyitcqdpkm+WHeQGUOy6Z7q4K3le/EGVY8F3c+Yk+rUXzutgclfGKYnI0Q+KYE1CilljZTSL6X0SSlfklI+ETBFdTmq3fUDhTFQ5aTpzqeSmshoFSEaRRtNT9Bywk1LGsWhSleTJZ09vuAZZtsHCCmlKfCqO1AGw8gEDs6jgOhoFIaJqbzWS63HR26GLiia0ygMAdiWyYLbNIXYzXOlOvSBOM1hC82jaKhRRMj0lJlsb2STD9Yo7FYLXk0zV4QzzDPt9VW1Ba9fMwf3Gre/vkBgbfvMf418FN6mndnRysxeVVDOwUoX507tx4DuKVTUefX1KKyhzuyxfTP4568mM3t4j7DXo3AHfqf0JHvi1noSQpwthNgqhKjoygl3RvSHcaMZN1Z2YAZQXBUZP0VZ0INQHaYz22mvLyzW0kDekkbx7IId/OalHxt9pz4jWrRrgNDXv9Bfh6MhBeMKzPqgfqYbXBQQovNgG5pDeZ2HmiCNoqjKzZ/eX8u+8rqQ/esFRfi/TUPTE2AWXkxPsjUR9RRU66nDUU/1g2bDBDOvv4Gg8EtzH8ME197ot7YQ7BuKhEbRUDC7vFqj9U307dERFF+sO4jdKjh2VC5ZKXYqar2B6rH1z26604YQglPG9cZutWC1ilbrt0H9M5DopqcHgTOklJlSygwpZbqUMiOaDYsHhn190oAsIEijSA8Iigg5tEN9FK0PrIb6bLO0Ho0SPNtomPFZVuuh0uVrNFv1BjmR2+PMDn7gwxF8wVz07x+Y9cC3/PfHPabAcjbQKKIR5WEM0qXVHjw+zcyW/WLdQV7/YQ+LtoaudmdoSm3J6jVXSWxSUNhNjULTJFISUUERLKQalsg3BLIejaOHZwb7KIB2myDbQrA2XeP2mwKirIMaheEDMnwUhkahlxuPXtTTvI2HmDE0h8xkO1nJDsrrPHg1XaMw7mXj+hvYLW3zUaQnsukJOCSl3BjVliQAxuBx5KDuWC3CXAbVND1FyKEd6qMIU6OwWbCHMXC6WsijMPrXcNZvCgqrbt5qa+mGYAd2W01P24qqqaj18sd317Ih4MQ0nNnG7La53Ix/L9zBCY/Nb9P5DAzT04HAgjndUhw4bBZ+2lOmf94gTLamHaYnY99gjcKIgArWKAzNzxbB6rFunz5ApThtjWzyhunJiLoJzqMwBIXDGv3yKUYhwMxku65RBLS89pZSMSL3gsvu+DRp3k9CCJKiWLr+QLmLET31JMnMFHvA9KRrisGmp2CsFkt41WO99blUmqTdkWHtJVxBsVwI8V8hxAUBM9TZQoizo9qyOGCYF4b2SOXTG4/m9Am9AchJ0zWKoghqFEYsdTgahdvr1yOSDEdnCzdW8MPdcKZizGAbOpy9pnMzoFG0cYAIjtNvS9STX5NU1HmZNljPkjUiiozZV7dUXUCXNeMb2rC/ki2HqttlSjBMT/sDJqYUp5XMZDvG+NwwTNb4zdqykJK7gc0cMBeHChEUgetkiaRG4dUrwSbZLI1Md8bEwGbVJx9ev55H4bBazPM72xn91hYMLaZHupMaj9/UJBouGRouRl0nQ9gZ19jQKICorZvt8en1soxrbfiGfA2c2WkNNQpreEUBPQFfh9GXWBcGDFdQZAC16Ilvpwf+TotWo+KF8eCmOe2M7JVh2siT7FbSnLaImZ5KazzkpifhsFraplFYWzc9haVRNBjMTR+FzYLD1nZndohG0QZBUVnnRUoYkauXFDP8Aoag6B7Q6EqbGTiM4IKidviOjLUn9lcEBIXDapZ/NtoWjNGvptZ2aA5DqGSEaBT6OdKCTE9GhJPNErmlUA0nbpLd2mLUkxG84Aosg2qg+6qim8FsaLY90px4fJrpA+yIM9ths5iJdYZmYpgygSZ/j0hgTCyM0NfgyYE9EEUGjQVFuOtRGL6WWIYuBxNWrScp5eXRbkgiYEQ8meqh3wvuKkjpTnYEy3iU1XrolmqnsMrafNRTbSk4M8CqV8LMsVmxtVFQNAyxNARFQz9Cff6CwG4RpPgaR0a1RKiPInxBYQiAEbm6ul5aWkoSflNQJDusJNutlDbzu5cGBEVhlZv+3VPa1GZjkDadvv5yMoMERUPzR3tMT007sxuYnnxu/LW6yc1qqZ/R+zRplrpvD+6AX6upGbQxg03ylGMXEl+gzHhwPa325tOEhaZBXSl1Hr0dhg/wUKVuBmx3eKxPM1eNs1qEKXCC6531dLjZXViKpkkzuTESGPeLEZprWAxA19xy0pzkUGH6wgzCXY9CF/xW0/ysL/sau7Xjwo16eqKJv3uFEGdGu4GxxBhI05NssHcZPD0LHh0Fi/5Oz9TIahTdUx2kOGyNB1a/lwG734JHjoB/zYF9P5mzQ4cZ9dQx01NDjcIQPBl1BfxPwe95v/Zy+PQPupAMg+DjtcX0ZAwIvTKcXJi0hM/kdcx3/g7ntvoyYt1THaZAaEhpRzSKgA8iiyoesT/NMZ/M4n+r/8pAewVH5KY3Wu3OEK5NCYpthVVNmsdM01PQoJHqqDc9jXKvhqeOIuOf47nU+iVWNFNQvPr9bo5+4Lt226JdXj2k2lgnOhi/x8XNtrcY8vJk7iv5Lb3d2831sg3sgYzt9tIw12fzwSpeWrIL/6FN8PyJ8PBwBvz0N5Jwmz5AY8As74iPwqavj90txWFqqE6bFaSE5S/wdt2VPFr4G7786LV2960pDA3UmBQY9ZwAMnyljF18I8uTrmXM4puguj5QwtqGWk8Oq8WsVpCopqckYCKwNfA3Hn2Vu18LIf4elZbFAWPQ7la5GV44Gby1MHgOzLuT33hejphGUV7rJSvFQarTaiaq+fwa5zy9hL1v/o4hO1+DocdCXRk8fxK9PHtwWtthegraTUppCsIql48ql5eNByrN42VSzdR559GvbgvzxEz48d/w1qUQhlO1Lshp2xaNoqxGf7iGFrzH//EPdsjelMoM7G9fBJs+BQKCookZppTSFNxFVa6wz2lQ6fJiQeNlx/2cYVlCyZAzmeBewcdp99ErVTYyPdW0EB574XM/8OjXWxptb9KZHdAoRrg38LL1r0igLncKd9tf4siCF0xB8dPuMoqq3BS2MyTbHTDDJDdhahm/6i7+x/YBdYNPoLuviAfKfk9y7X7TZAMdW4a2rMbDlL/O48v1eqn6ZTtLOefpJfzjo0V4/nUMsmQrjDqdoVuf52H7M6YPEPSBszmfVGsErz0xKDuFLYeqzL6w9Cn45Cbs/SZidaRw8qrrKV33dbvO0xSmRhEoH2Jcczs+Tl15FWz+HMadC5s+gZfP0K0V0IZaT3r0lhkJGGPTU7iCYjz6anNPSimfBI4DRgJnofstOiXF1W7eWLaHwoDKq0fsSDLz74CkTLh6AVz4Fky8iOPK3yWtanuHz6lpekHA7im6RmHYaQ9UuKjZs4q+W19jX5+T4cI34er5SFsSN7ifw2kTYQmKEI0iaJA3HGugD3ovL93NmU8tNgun3Wx7G7unnBdHPMUt3AQn/h9s/4aHHn+kUU5BQ4zoldwMZ5tNT5lU02f5A2x0jONcz52c4/8/6DkavrgNvHXNahS1Hr/Z17YOpj6/Rq3Hz1WpCxlv2cnN3ms4dNw/sF70Fhl1Bfyi7r1mndkNZ+e1Hh+FVW72lNY2Ok9TzuxUhw00P3nbH+QQ3Si9+BuWz36eT/3TGLX1WRxVBWb/oN7Z3lb0gcWK027F5dXqZ/h7vmdwwYc87Tud6jNf4IF+/wQkZxc9TVKIRtH+8NhvNhVSWuNhxZ4y3D4/v37xR3pmOHmh3ydY/G7+PvApOO9lVg65ltOsPzDGtcL8br9uySG10NraZ8OGPzA7leLAxC7DWwT5f4PhJyIu/YQD53/Jbq0nzq/+aA7YHaWioUYR0CIvt35OVs0OOO9l+MW/4ZwXoHADLNOX17FZwhMU9Wa12BVsDCZcQdENCC6Onwp0l1L60dfS7pQcrHBx+3trWb5bD4msdvs407oU696lcOydkNIdhIDj78ZrS+Em33/YcrBjeYaVLi+a1CN6Up1Wc0DYU1LDXfaXqLaks3PwRQCUW7J4xnIBM1nDpd3XYTPLP7eQmR2ccBekUgRnAdd4fByscOHxaWw5VIWjeAO/ss6jaOQllKQfod+E066iOGUoF5Q9zT3v/dRi2RDDz9IzPalN4bHltR5utr2NxV3JR31uQsOCsDng5AehfA8sfrxZQRG8rbCybbdglctHJtVcr73O99ooPtJm6mGrQ/JgzFmcXP46qbX7Q77TXNTT/nJ9kmHY14NxN6FRpDptsOIlsqs2cZ/3V1RqSRSUu/ir92IQFnosuSfkGK0J6eZwe/0k2Symg9rt00Dzw2e3UOPM5QnfWdisFiqTevOa41yOrFvIkf5V5vedHdAovt6gaxJ7SmrZU1JLldvHXROrGFv8Ocv7/IrHV+n5Kj/0vZjdWk+O3Pg3bOi/7+CcVKB9IbKG6Ql0jcJg5LpHwO+Bk+8HIRjcK4d7fBeTWrndHLA7imGqNAIXMlPs9KCMG23vs69nHhxxUqAxp8Kw4yH/fqg6ZGZmt7YapaeTaBQPAquEEC8IIV4EVgIPBUqAz4tW46LNsJ5pWARsCphgquvc/N7+DvQaB5Murt8xNQf/7FuZbVnLK/99o0PlFYxIne6pdl2jCAxAni3fcJRlE/+2X4DPrsvk137Yw8NlR1OTMYyRG57EEbhaLYXTubwaho8ueNIRbHOvdtfHrG8+WMWANY9TRQpFU39fn3BntfFc2tX0E8Xkbn+rxRpHtcFhjm3QKHxle7nA+i1MuQxvzmggYCYYPBtGnwlLnqSP09WkoAgup9LWsOVKl5crbF+QLqu4y3spIEyTECfchwAu8Lwd8p3mnNkHAlFTB5sSFIGHOcVRv8ZDqtUH8x+iLGcKn2jTqXJ52VdeS5ElBznrd6Tu+IwxYpd5jGBBces7q3n3p4Kw+mhoFPWltf2w8WM4uIZlw35LHUmBqCcLr1vP4JClJ+dXv2KaGtubme3y+lmwRV+lb3dJLduL9NqhE7f/E9J6ceTF9zG+Xya3vbeG4jrB//l/RWrlDs6wLAFgULYuKNrj0Pb4/PUaRUDgDBX7yN31EUy/DroPAfRJ2nLHUWxNnwYLH8Hi7/hct7KBMzvNYeNa2yck4WHN2FvrdxQCTrofPNWw5IlGZeUrar1NCg13kKPeeB9Lwq319B9gJvAB+iJCR0sp/x2oAXVLFNsXVZLsVob0SGPDAd2WOaRwHgM5CHNuAUvoT5M680pcjmyOLX6Nt3/a2+5zHgwkeOVmJJHmtJmD7NBN/+KA7M5zVbNMtXtNQTkDcjJIPe6PULSR7H3fAa2bngyHabD6HqxRVLt85oNYvHMVPffN40X/iVhTu5klHXx+jdcODWRXyjiud3zGK4u3NXvOGo8Pp83SZh/FhD0vIwSI2b+nZ4ZupzYedObcAp5qZpd/QK3H32iALgkIh24pdgrb6KOorijnMusXbO2exyY5AKgPWyWzLxtyT+dM5uMtqx+Um6v1dKDciNTxNkpUrC/MZzWjl7K2vQdV+zk48UZAUOXyUVBWR++sJKwzrkFzpHOt7UPzGIbpya9J3luxj/dX7gurj0ZItVkx1eOHhY9A9jA25RwH1JcZr9Xs/NdxNsM8G2HXIvOz9pieFm0tps7rZ1jPNPaU1rKjuJpJYivp+5fAzBtwpKRzXd5Qymu9rNxbzhLbdNzZo7jW9jECzdQo2pOdHeyjGBwQONfaPkZanTDzf0L2HdQjjdeTzofaEnof+KrN52pIZZ035Pe21JVwge1bPtCOxpMxKHTnnGEw9hxY/gKpmj72+DVJRa2XGfd/w3srGl9jo2+xXCskmBYFhRBiZOD/ZKA3sDfw1yuwrdMzqncGmw5WgpTkFb3KHks/GNlEYVx7Ms7ZN5BnXc2yJd+1+3zGDLFvVjIpDqs+U93zPQOqVvCc71TqNCslLn3AWbevkrF9M2HM2ZA1kF6r/wHIFk1P7qDoleA8iuC6QjVun6naj9v5Aj5rMi/6TjQzswHW7qug2u3nwPjryJVFDD7wWbPqbq3bT4rDSqrTSrXb16oaDUB1EUeWfsw8+1zI7EePQIikGcrYaxwMP5FJ+94gGRdbD1Uz5d6vWbJNn60aGsXIXhltNj2lrn2JTFHL3jHXmNuSg0JDtwy9HCsavsX/qG9uUB5FcP+MPAyAcndov11evxmqmWS3YMVP0vdPQJ9JyMFzAV2A7yuro29WMiRlUjfxck6xLGOI2I9FwL4y/fiFVS58mmTtvoqwfl93IOopOaCGiu3fwME1MOsmvFp94T9Dg/xIHEOltbsuTNAFdnvMG1+uP0i608a5U/pR7faxYncZNyV9AklZMEWPsh/VW6/+s3ZfBSlOGzXTfstwyz5OsPzEINP01A6NIsj0NCA7hX6iiJ9bFlE66kJIzQnZd0hOKl9VDYaBs+i/931W7DjUZMHMcKmo84aYGPnhGZx4eNp3ull6J4SjfwfeGibs/y+gD/zbiqqo9fhZFLjHgzFCpaNZUbklWtMofh/4/0jg7+EGf52ekb3SKSiro3bNh/T3bOfDtPMaaRMG4shf47amcXLxC/r6zu3AmIH2ykwi1RlwZuf/jQqRwYdWfaZXWCspq/Gwr7yOsX30XAqOvonkolXkWVa1rlE4G2sU1SFJcXqlzqFiHzPrvmX7wPMoJ91cnwBgyXa9OHD/aWdSmTmKa8V7rC8oDhRvC32Iaz1+vXy2044mw6yls/jv2KSPz7N+Cej+DQiNeWf2zTi95Vxq/YpvNxVSUuMxZ9SGOWpk73RKajzhOz/dVfTe8BwL/ONIH3oUoNvjg9ctt2QP5iNtJs5VL0KVbm83TE+aDA1NNK4nQJmrsUZhlri2WTnHvgRRthNm30yvrGQAdhbXUlBWR79uuk29bsrVuLFzo+09xvTJNH0ghmZRUeelICA8thVWcfY/F7OtsHEYs5lHYbMCkowfHoaMvjD+l3j9unnSKC3h9UsqfFYW9fgl7PgOdi8NZGy3tTikny/XH+T4Mbnmet/l23/kZ/JHmH4tOPVt/bulkOqw4vFppDhsWMecxU4tl5ts79I/S58wGBFxbSG4AGBmsp3fJ32EhqBq0jWN9h2Uncq+8jo8M24iyV3Cd288zN0fr2/zOQ0q6rz1iZW1pfDDv/jeMZPtsq/pWwwhdzQccSpj975KJtX4NWma6VYGysgEY0SxJaoz+99CiF5SyrlSyrnAS0A1+rKk50S9dTFgVO90LGiIb+9lr7UfKzJbCOJKyqRu2g0cZ13Jjws/a9f5DlTUkZPmwGmzkuKwMtm/Bnbk82/OYsKQvgAU1mqs218BoGsUABMvwpsxgFttb+HzN2/ecXn9ZlJXU6andKfuFymv9XKL/W3qpJP8Hr8CjKKA+k29dHsJvTOT6NstBX/enxhkOUTt9y9y+Qs/MunerznzqcXm4FXr8ZHqtJIWOG+Vu+WHfP6PK9GWPcfX9rm4MnS7saFRGA8CAAOOorzfXK61fcTqrTsB+G5zIZomKa3x4LRZGJSdij/wPiyW/hOnu5RHfefSKyMJm0U0KtSWmWzncd/ZCL8XFjwE1Ed2QWjk0/6KOtID328sKPzmDDDd5ucm69vQeyKMPI3uqQ6G9khl8bZiDlW5dI0CsKT15AX/SZxhWcpJPYrN33hfkEBat0+/N5ZsL2HFnnKueHF5o/4HZ2afYFlOcuFKyLsNbA48fs1M3jTWnXB5/KzsfS6k5cI3d+OwCNN0JqWkpK71gWnBlmIqXT7OmNCHgQFn8o3ydWqsmbqgCGCxCI7opWfjpzisJCc5eMx3DqMse+i1Rw+Lbi6XoqLOy50frqOgrPFELdj0RPFWzpTf8Zr/OCxZ/RrtO7iHrrnszJzOwdRRXOx5i/Ly8mb7Vl7radE3WekK0igWPQruKj7pfhlQv75KI+b+CYevhmtsH+P1S3YW64JiV0ltoxBhj18LWWog0TSKZwAPgBBiDvA3dGFRAUQmXKAZhBAnCSE2CyG2CSFui9Z5RvbK4BfWBSRXbOPf9otITXa2uH/W3Bsps3Rj2JpHWLil0KxXs62wygyzbYn9FS56Z+qDQqrdwq22/+JP78uzdXOZMrAbTptFFxT7dAf72D4BQWFzUDXzj4y27KbXns/x+TXu/WQDN7+1miXb61VVt08jxd6Uj0IXLr0yk6io8zLYvZmTLMv4t/8UFgUCfOzW+sKDi7YVc/SwHD15aeLprBYjGbn5adbs3M9Rg7uzem85P+7SVfUaj59kh80ccGtaqCBb5ZEUfnQXfr/Gk9o5dA/Uc+rZ0PRk7D/rdjJFLUftfxWA4moPa/ZVUFLtITvVYX4vLD9FTTEseZJdPY5hlRxGRrKdrBR7iNkJ9MiV3bIXB4adBz+9CKU7qHJ5TcdjsJ9if3kdE/pnAVDWwPRkrEwIcJb2Jb0phuPu1B2awFFDslmyvRgp9bBQ0Gf5z/hOo0akcFrRc1QFzISGwLBaBGsDgmJ3SS0Oq4WDlS5m3v8N5/1rqZlbYpzbadX4g+0t6jKGwIQLASiqdJvFCW1WC7UeP1VuH/17ZsPPboU9Sxld8705a52/pYg/zK8zBVRzfLx6P91S7MwalkP/7inMsKxnjnUtqwf9Wg83D8IwP6U4rDhsFr4Us9huGUTy4vtxisZaK+iz6OtfW8FLS3fz+dqDjT4PERTf/hWfcPIP38+bzG43fBg7S2p5wX4BPUU5Z7o/brJg4P7yOqb/7Rvea8E/VFHn1UvAVOyDH56FCRdQkzUcoGnTE0CvsezucwqXWb9EVu5nR1G1GYiyam95yK5ub6hGEet1s1sTFFYppWG4+yXwrJTyXSnln4Fh0WqUEMIKPAWcDIwGLhBCjI7GuXpTxP/aX2NPyhg+9001SxQ3iyOV7aNvYLx/A1+/9Ffu+2wDUkoufO4H/vT+2lbPd6C8zlz7YMr+15ho2c6W0TfixsGg7FQGdE/hUK1k3f4K+ndPDsnq9Y0+m3XaICau/xt/fPEr/rNoJ1+sO8CFz/3A9zt0U5HL6zcjeILzKCpdPoTQnegl5eU8bH+GGnt3/u07hYVbi8lIspHqtDI4J5Uku4Wr5wzhzjPG6F8Wgnn9riNblnK34zUeOmcCUB+WWufxkeqwmnVsWop8Kt+xjHOt+bxlOYlNdVlmhd7MZHtI5qlB+sBJvOs/missn/DLPoVYBHy78RAlNW66pzlMJ3hzuRQLthRxxj8Wsb+sFj66EXwu8vtdjRC6dpWZbDcHTQMjcmXDsGvAloR8/1pcHg/ZgQxiI0RWSsmBChfDc9NIdVgpc4U+vEbkEcXbuKTuFX6yTYQhc83Pjxrc3VzHo2+QoKgkjU+zfsXAkkX8wrKA/eV17C+vIyPJxhG56eZSobtLahjSI5U3rjyKMyb0YdnOUpYHhLfbp5FktzJ4/VOMsOxj2/ibwWqjotbLZ+sOcPLYXkC9Bnf6hD5cdNRAmHwpZA/jpF0PkOLTBcOaggokmAl0TVHn8fP1hkPmOgtJ/moecvybAplD7YTLGu1fLyj0eybZaefV9F8jynZxh/PtRvWepJT85cN1LNpWjMNqYWMTYeqmj2L9+7DhA1b2v5gSMkNqPRkMytE1nq2HqnitZBjz5FRutL1H2Y5Vjfb9YNU+XF7NfMaaorLOR1aSBT64FoQF8m4zNYwmTU8B1h9xAxYk6V/+ll1FVcwcmoPVIhqZn0yNIk61nloVFEIIY+Q8Fvg26LOw6kS1k2nAtsDa2R7gTfTlWCOL34t49zfYheRex2+pcvsbFe1qiqm/uBn34OP4s/11DmxYyqaDVRRWuVm8raTVEsYHKlz0yUqGPT8wccsTfOafxvxk3TfRv3syA7NTKajSWLG7rF6bCGC32vit93qEr5Zzdt3NX04ZzrI7jiPFYeWj1fvx+fWkOiPqSWtgekpz2Eh3Wrmq+p8ME/tZfeSD/GrOWG46bjjf/iEPp83KzKE5bLr3ZG4/ZVTIb5F1xBz+6TuD8yzf0G/vx7rmE5jF1wSc2cb+Vc3lUlQUcPrBJ9moDeCe2l/g0yTdAoJQCEGPdGcjjSIjyc5f/ZdyiG7cXvMAP+tv56sNhwJlUJymb6OpMh4en8ZfPlzHmoIKFrx6L2z+FI6/m12iP2lOG5ZAKflGgiKQXVskusHpjyP2fs/vLP81M4gNjaKyzketx0/frGRyM5MobWB6cnn9ZFg98PZl+IWDV3reamoTgFk1F3S7PWBqLRsGXkRVr+nca3+Bit1r2VdWR5+sZMb2zWBdwKG9u6SWAd1TmDKwO3ecqs+jdpfUomkSj19jeNWP9Fr1JG/5fsaenscC8PZPe3F5NS6ePgiAk8b04pqfDeWRcyfotY+sdvjFv0n1lvKg7Rl8Xi/bCvWqvvM2FjZ9XYGdxTXUef3MGpajlwT46EZ6U8SNnhsY1Kt7o/1H9dZNT4aZNNVhY1fWdDjyN1zCx/QrDA0YeXbBDt5Ytpfr5w5l5rBsNh5o2i/Ty7tfnxD0O5LBZ/2Fe84cY1YhDiY9yU5OmpPHv9lKtRdWTbiLSlLJ/PRKKitKmb+liM/XHqDW4+P9QBTS2oLmNaqKOi+nV7wOO+fDKQ9Ct4HmOiR2a/PDrCdjAHf7LiF5z3xOLHuDMX0yGNkrnU/XHuCyF5aZ1gI9OMEa1TVaWqK1UfENYL4Qohh9zeyFAEKIYejmp2jRFz26yqAAOCp4ByHEVcBVALm5ueTn57f5JFlla5iw90c+zLmRrwvSAD/FBwrIz2/+gTCw976UMXtW8Zj7Tp5+sxIYRZ3Xz38+zGd0dtOF3Gq9kmq3j/4Fn+Bb/Sg1tu7cVnclY1broad7NqzEWuehqE5icbkYYisL6VedT7Jd9uVO7+U8YHuGESt+wwrPHxnT3conK/dwdJp+U1WW6rVk1qxbT3LJZgC27nKTLNxcUHAvcyzzedL3c2RFN2b0OATAuuWhCWYNSa3ReNFxLuekbKXH+9dwie0K1m47nvz8Qkoqasmghs3r9Vne9z+txL039NZKrd7N6DX3YpNens28CXeR/vAe2rOD/Hz9Uvd0eLC5vY2upd+Wyg2eG3lX3MODZTdxVvUt7Kcn03vb2LjyBwCWrdlIz+rt7K/WyE4SOG2Cr3Z52VXi5p6MTzi/5A22pB7Jftdotu4qwIGf/Px8pnfz4dcIOacrEFW2cv0meg/OYVDP47m28GNyqyQ3cz6Lv1/G17762PfSfTtw+r2UuPyh1+vgQe6vexBZsYMNI//Esd1TGvWtR7KguE6yedUPbLcINCnplyZIcxexuM+VTDnwO8Z9dT4OcTNJKSNx1roprfHwzuffsbO4jqEpLvOYaXZYunYbg3x7ONGyjNM3PEVVcj/uLLsUzxsreOgTCyUujRHdLBRuWUFhoOrI9GRYsihUWyjPuoSflz1P4dOnsKnyOsDBxgOVvPv5t2QnNx741hcHMsk3r6RwwT/oWbSYt1N+xUrXCHauW05BgwJ8dYHfuKKkmPz8fIamecmlggVJJ9LXMo/L993FsldLqO2Xx7ZyP/d/7+LIXlamOA6w0+Nly0Ev8779zhSsAMO8W7h008N4LRo/9b0S1+qfGADk5+9q1F6A0Vl+dlsEx/TW6GX3cpP3Ol6tuJ+DT8zl1po/cIju9EoVHKyRZCcJthyq4st53+G0hfZF0zSu9L7GMQc/4FDPn7Gxoj/k51O0X9eKVq9aSc2upseEzQd8vO4/hkuzN/H7yv+Sv1Vju+0c5u33s72ohoqyUq6doOcnFR7Yx4/f62PThk1byK/bic1biUXz4nFmN3l8gOrq6naNj8G0KCiklPcJIb5BD439StbH5VmA/2n+m9FHSvksAT/J1KlTZV5eXjuOkgdzTuWMtIE8+MC3lNV6GTtyOHlHDw7r2/tHHEHl87/g5vL7GJR6Kve7zqI8eQh5eaOa3H/r7gLumv87Li2ch+g1hq0zn6Hy9d3srrXTLcXCqcfnMb60jqyPFnPT2UebvgwDt88P877gv745dEuxc1vl08xeexvOkbdy3vxuWHqPBFYwdGA/Fu7bxchRo3CkOdl0sIpxSQu42/IYQ907ecz7Cx73n80H06cyMWBfD4fzTwVcefDO5dyx7d98X7eZ6ZP+hbZ4I4P792TOzCGwdD6Dh48ib5LumMfngaX/gNUPUS1S+aXnzzx92QXMe2IhVW4fMyaPJ290LgBz5kg9r0KEPoi5K+azqnAY+854g/5fXcnnzj/xgPeXJA/+NccfMxbrN5+T23cAeXkjGX/Xl8we3oP/O2scj8x/nQ8zX2aCeznznT/jqpLLObssB5lcQ48sD3l5c8hrop9SSqzffk6PPvoxd42exItP/IbL+IQBji04+z3GOe9XmeHHx82cwkGxm/kb95OXl6cnra15i4mu20iiFvHLV5k2qumq/KdWrmfp9hKOO2aOue2YgHVK0yQn/1jJa85HeMJzD0tTLqTHz/6XVzb8RFHKAHzaZo6eOJK86QMBGLZ+MU5bNXkV73Ci41UOZYwn96r3eanQQv7mQtYUVOAvreFPZ44l74ieLV7r/9gG8pfP/dxd9grParfxQtblvFQ+jtqsIfxixqBG+1es2seMFa9xyb63cJRtg+PvZdygS7h3bwXHB9rXkJ8Xr+To4T3Im9KP4Md314hRrPr3eUzb9hha8n5eO/RzstOcvHhtHqlOG1Xd9vHZzlX0Gz2FbYXVzF+3h7zi13jT9gYuew72X3/A9J4jW+wfYJ4zPz+fSdNm8b+L6/hqwuPMWX0L81L+xNbxt3DB8qE4rBZuP30cf3h7NTnDJzBlYJCGVLgJ3ye/5xjbYjb1OYuRv36OXKuuSRT/VMAbm1Zz1NSpjOuX2bgBQN3aA7B6BQsnP8rqebdyXtnbHD3gIJsvuJO3diXz5o97Kc8Yhl+u4aJjJ+v+sG+/ZOCgQeSlLYF5d8KAGXDBG832Mz8/n/aNj/W0ameRUn7fxLbGFdAiyz6gf9D7foFtkSd7KKnA5bMG8+jXW8wIlnDoM+gIfpP2AL+q/A8XiE842bmA/645G465O9R5V1cGy19g0MK/M8RaSdHIi+h51v3YCn3AbvZXuLhi1mCEEAzITuHkwfZGQgLAHuQU29LnTDjmdPj4t0z74Qbedo5k4eJfA33MPAq/Jlm6+FvGbX+WKyw/UmLJ5v0jHuTx1XoUSPASnWGTlAEX/JeP/vkHTix5DZ6czHXe4ymXvyHNOQIIhOJ6Xci1byEWPATle5AjT+U3BefgyUxmQHYKkwZ2Y8GWIrql1rehubLP3VMd2K2C3hOOQwz8lopXr+GvZS9QtvE7xKA/k+FIpsatr71d6fKxet1qlh94lPe0z7BoyXDS/UybdCWXfbOV5xbuQJOhZp+GCCHISLJRWeejqMpNlQfu8l1G9ojpzNz+GN0/Po2/iVk85T+T7fSlT6Zueqp0+9E2foZlwQNwYBUHrSN4pcfvuK8ZIQFw+ykjm60EarEIhhwxgbO33cON/hc559AryLe/4uqkU/jkR6OmUaBURU0JV8u3mH3gLRyHPPzLdyqZR93J+ak5TBvccn+bwmEVvOw/kYtOOhHbp7/nbtffOD11Io9+eibzN8/mkfMm6v4zKaFgOZMX3sWZjkX4tYHwq3dg+HGMAcb0zWr2HH8/f1KT2wf178+qM17jH+/fxdVr3+Xv8gN2DL2EVO94cPY0/RuvLdyEtuoN/mD/gFxK+UibQemUe7ksDCHRkIxkG0l2C4vFZB713MML2a8xedWfWdVzFFtHX0/uUL0fy3eV8fbyAi4e4WXMjueRq15HODK4zfsbJk/6LSOt9ffz2L4Z9OuWbPqfmsIIy95U5OYd31WcfNJppC/6K2M+OJHrhv6C+f6j+L/PrfTOTGL6kGx8Pi8nWZZx9g9/gdptMGAmHPPnNve3rUTTz9ARfgSGCyEGowuI84ELo3nCS2cOYtPBSo5s4wM1ZcRA7vj+1ww98Vr6rniYK8tewP/Qm1iH5kHWACjfDTvyweeisMdsriw4medOugKcyaQ6dDurEHDJjKZnXcEYK6D5NcnQHqkwYDRcsxB+epERX/4fRx64hZ87euHeOZX+thrm5h/g7MpNVIlkHvf9gg2DL2Vi736wehOgL//ZLqw2Vgy8kn+WTOHz0Qu5dPVbsPYztMpZ3GVLYsYKiZy/HFFXxkaGML//Q0ybeS7f/3MJl4zWb7kpA3RBkRVGG0bkpmMRgaKI2UPJuvoznvzPE1zpfR3e/TVfk0XB9inITwfxX8dijhSb8VdZWN79NGZc8SCk9yIZuP2UUZw6vjd/+XA90wa1fJ0zku2s21/BrPu/5bTASocHBv2cYzb049UjFnPKrtc527mIwoxx9Fgwj3P2H+JXjh+w/LcYsgawcdr9nLKgH7f/rOUYDD2JqvnPz5zYl8/XHeQPXEPu3GuYvfspbq9+gRuq32SJfQwT102AH/bAzvmc7Pfwpf9IRp7/IH978QAPO1Nb/W1bahfAQu9oHvA8wEuDv2Va2ce87r+brTv6UvXWdDK7pcC+FVC4nhxrBg/5zufm6x4DZ9vWBmmKn08Zwif2+znr3bn83vY2x+x4Dh59EQbPYWj3IfzLsZoZ69aRYa9F63sk7rwXsdQN54yhOa0euymEEPTOTGbx9mJ2aP1Ycezr9LUsJfm7+xi/6AZY8zeeSR5C6TdJnMNuxqzdgrQ6eFWexLz0i5lfIclLDr2XR/bKYNEfj2nxvIb/YsuhKtKddtJmXQkTz4KFD9Nz+fPkO9/iR98ILDnjsLz/BvZdi3nGsZ/dtb2523MDVx7/B8bndmtXn9tCQgoKKaVPCHED8CVgBZ6XUrY/GyYMMpPt/PNXU9r8vXOn9mNbYTVjp03FNWkO1z/9CkdXfsIxezaSvWM+BVoOB7JOZMa5N/Pm2iQ2FWwjNxDSmRIYIfJG9DAzUlvDbtUFxZBAQhNWO0y7Eu/wc7nzHw9zrD+fqWU/kGutw2sbwVs9buCveydQSSqnp2SYuQ5C0HqEVwv0SHeyydWd8hP/wZk/TufxYauY6F7JL6xb8VXm4B2Ux2VrRlHaYzqbtlaTWfAjNovgyF76Oc+f1h+/lGaYYkvcfcaYkAiutCQ7/3P9zaDdBNvmseGtxxhdsx77+mUk0YN30y7gNd9cnrnsDEgPXShmfL8sPrh+VqvnzEiys3JPOQBfrtPt99mpTipI45Ne1/L25hm8eeRWRpQthPXvMtCWykLZn09zr+Piy6/l6id/YEgPwWUzwzNjNsfckT107cblI2XoTJh7Ch98/D7eZS8w2bqNtI2bIGsgTLmMr1JO5eovaviXvw9wIGTFurYybXB3LAKezt+GBzslg8/CevnfcK98i8JPnmPSvnwoFNBzFJz6KH/bOYYvtlZzSwSEhMFp4/swfciFSHkhuHbDTy/AzoVY9/7AGFsmX3snY596KWeccS5OITq85GZuhpPvd+hRY0f0zoTcc2HMWbDlc1j1OkfWLMemVbND9uGD7lcw/Rc38ecn10GBfm9mtkNDNzWKg1WM65upm13TesDJDyCO/h2fvfwgfQ7lM678a3BnIvpM4rr1F/ClbyJ+rNiX7ObRXx6mggJASvkZ0L6sthgyvl8Wb1w1HdCXOXz4t5dz32dHceePBWZkwpCUVL7tPYH9C1fTMz3JTHbKTXdy5sQ+XDl7SNjns1v1FcuMzFeDnG5ZnHjhTVz9ymyeOHsSl7/4I/cdNZb8zUVUojus05Pqcx0yk+0dWuHLyF/YWVLDHpnLmlG/Z9LMQUz938+5bPwgLp05iCWrvuX+WYMpqnLzyNdbOGZkT9IdelJRbkYSvz9+RFjnslgEFppoq8UKI07kwcwUeqYn8adTRnLmowt48oRJvDeud4f6F/zQG8vVGuGxhypclJJB2aTrYchfAP1B+vz5r3hri5dnHlpEWa2X135zVKMorrbitFk5dXxv3li2V0/KE4KBE+dy1hIng7NS+e4Peea+2btLgaWsCIRWJrVzdTyAQTmpnDyuN5+uOUB2qoM0hwBHKs6jLucP3w5g+pBsHvvlRHP//RuWmzkxkcRcqyJ9BJz0N3P70++v5Yt1B1lw0tyQSLKO0CtDn1TYLMIsTojVBqNOh1Gns2jVPt5bsQ+PT6Oizksvd+gzaETLtYX6itAaowMmNZP0Xow5/14Wbyth4lEDzM0L7vwSv8/H8J5pfLxmP7efMspMWI0WHbuLFY1Idlj568/HsfT2Y3jukqlceNQADla6AjH3dfTJqp/h2qwWHj9/Un32dRgYqurQHo1n4jOH5rD6LyeYx9M0GbJ6VrCgaJd/IoiegYdqZ6DsgOEXMcqSGKXHU5w2bjhmGPecOYY7Tm3ayd9RjCq8RqJfqtPa4WUujYf+LMMpT/2gZVSKbWg2O3GQnelDujO8ZzpvXT1DDxWNADceO5x7zhxjLqM5tm8myXYrAxos/zqgu35PvLRkF2lOG9OGtM2M2pBrfzYUgKE9QwfEYT3TzJBZg9Iad8gCRNHmT6eM4vPfzm6UVd8RcgO/7+Cc1CYF/JkT+/LSFdMYkZvG3lK9hDrU3xft0SiCk/FGNRQU6OtqXBgkJEBPSu2blczTF03G65e8sWxPm8/b5nZG/QyHKdlpTo4fncvO4mpqPX6q3T4OVLgY3afxzdAW7FZBZrK92dmbxSLMkEG/JkMWRclIspvO+sz2+icCGBrFt5v1cD1DcCXb9TU2zEHbYUUIwSWBSJn2191tnlSHlZIaj7kIlFkJtgOM7JXBntJabjnxCLO+lDEgHAokGgaviwy6GeHNq2Z0+NwN6Z2ZbP5+oE8W7jpjNH2zQgVFTpqDVIeVGo+fq+cMMhMH28vYvplcNWcII3LToaq+evDQHmm8tXxvyLrTJTUes15VLEh12iIqJAB6ByY/IwLlRZqjf/cUqtw+1uwrx2oR3HbySB76clO7BGVwMp6RW9IaF0zrz9g+mQzrmc5JY3rFJPlOCYookxu4+Q5WuNhfXsdxo1oOS2wNu1WfTTQMIQ3GeHj9Ui970Dcrmf0VdfRIc5oPV7eUDmoUAUHx9YZDpDttTOiXBWAu72qUT092tN/8ES4pDht7SmvNZWVTIyAobjx2OP9zzDCEEAzOSWVncY0ZoWWUim/PDDJS/PLIAY226VFzqWwrrOLyWR3zjRj86RRdC8zPrxcUw3qmUevxc6CyvkZVSXV95npnxdDYRvRsecA2BOLibSX0zUrmnCn9+MXkvi0+k81hTOosQp+chMMtJ9ZHdT190eR2nbetKEERZQxBsfFgFW6f1mTYa1uYNKAbIxqYAhpiNTUKDZ9fMjA7hX9dPIVhPdPMyqMdNT11S3Fgswg8Po28ET1Mv0uyw0at12+aniIxaLdGiiOgxZjmrsgIJ+MBnDM8hyqXD6fNitUiqPP6SbLXrz2QSFw2cyBVLp856EWDYYH7b3thNX2zknF5dY05Owo+ilhiBJSM69fygG2Y/HYW1zB7uG5ebO9gbZieBuWktmtSFQshAUpQRB1DUKwKRNAE+yjaw5MXNB17HoxVGIICvJokxWox/RZGmY1wwlJbwmLRS24cqHCZDwtAit1KncdnOoBTIzRot0RqoCKuocVEWjjdctJIc4aeZLNQ4/GTlZyYg2JTmkakMQTFtsJq5ozoYVauzY6hjyIajOyVwac3Ht3YqdyA/t3rJ3sN/URtxTA9tXbOeKOc2VEmN1C0buVePRKloxpFOBj+MU3qzmx7kGM3Lak+6qmjGA7t2cN7mNtSnVZq3H5q3ZHzF7RGisNKnddvFiOMlEZhkOa0mbNNQ4to6J84nMhOdZCVYmdbke7QNgVFJ9coAMb0yWx1lp6eZDevf4cFReDZbMqRnUgojSLKpDhspCfZWB+o+Nm7gxpFOBjqrF+T+PwyxGGW5rTxl9NGc2wHfSWgPySVdd767GB001Od11+vUcRIUHj90ly1LyWKJiFDUMTTPxFvhBAM65FmrjVvlDbv7D6KtjCgewrltRUh93576NcthbMn9eW08b0j1LLooARFDMjNSGJbYTV2qyAnNfrquaFA+DSJV6tfpMbgijBrWbXGXaePxuXTQmZgqYHlXQ2NIlbObNAryCbZLY36G0mMJLbDWaMAmD4km6fnb6e81kNJtaFRdG7TU1vo3y2FNQUVZkhye3HYLDwalI+SqCjTUwwwEnl6ZSZ1OL4/HIQQWISRRyFDTE+RJDvNaUa9GCQ7rNR5/NQG1ovuaMJZOBh+kKIqd9Q1GNP0lKA+ilhx7Kie+DVJ/uYi0/TU/XDSKAKaxIAOahSdBaVRxABjcZ1Y+CcMrBaBP+CjiOYMuyGpgainGrcvJv4J0M1dAEXV7oj7JxqifBQ6E/plkZPm4JtNhfTJSsJhtbSpoGZn57KZg5jQLzOs9Wu6AkqjiAGGRtEniiGLDbFaBJom8Wqy+TV7o0Cyw4pfk5TVekmNgdkJMM8TG41Cf2QyD3NBYbEI5h7Rk/zNhWzYX0n3VEfMQjUTgdyMJE4am9h+hUiiBEUMMEJke2fFUKMQIuDM1ppfszcKGIN2cZXbLHoYbQzNpbja3Wi1ukhj1E863E1PAMeOyqXK5WPh1mKmd7BciCKxOTz0pjhjCIo+MRQUFovA10TUU7QJHrRjplEEzE1ev4x4WYeGKNNTPceN6sk9Z45hUv9ujO2b2OGdio6hBEUMGBKogzSsR8sZ1ZHEGlhW06tpLa7ZG2kMH0FxtZsjWqmZE7FzBgmkaGsUTiPq6TAOjzWwWS0hNagUXRclKGLAiNx0Ft46l/4dTM5pCzaLqM+jiEGklYExUOs+itianiD6eRtmHoXSKBSHEcpHESNiKSQALIaPQpMxjXpKttcP1LHyUQQLh6hHPRk+ig6WQFEoOhNKUHRRrIGCfUDU8iiaIri2U6x8FMFJfbGKelKmJ8XhRMIJCiHEXUKIfUKIVYG/U+Ldps6IRQjcAUERS40i1F8QG43CYbOYIcDRPufRw3I4c2KfqPtCFIpEIlF9FI9JKR+OdyM6MzarwO3T6y3FMo8ieKCO5WCa4rBRUeeNerXamcNymBmhlesUis5CwmkUishgDdIorHFwZkP0/QXBGGauWGkxCsXhRKI+VTcIIS4BlgM3SynLGu4ghLgKuAogNzeX/Pz82LYwilRXV3e4P666Wg759UWKdm7fRr53dwRa1jrBS6/u372T/PyCkM8j0bemkD69gunu7VvIr9sR8eOHQ7T6lgiovnVeItG/uAgKIcQ8oFcTH90BPA3cC8jA/0eAKxruKKV8FngWYOrUqTIvLy9azY05+fn5dLQ/6SsX6I7XsgpGjzyCvGnRX9DGwDbvM3yaZMKYkeRN7R/yWST61hQ91i3iQE0FUyeOI290bsSPHw7R6lsioPrWeYlE/+IiKKSUx4WznxDiOeCTKDenS2K1xMeZDbr5qdLli3qWdMNzQuwirRSKw4mE81EIIYIrbZ0FrItXWzozwYIils5sqPcTxNqZDbHL3VAoDicS8al6UAgxEd30tAu4Oq6t6aRYLAKXV496imVRQKh3YsfSsaw0CoUieiScoJBSXhzvNnQFrIIg01OsNQpryP9YkKo0CoUiaiSc6UkRGawWgdsb+zwKgJRAGY+Y+iicSqNQKKKFEhRdlBBndpxMT7EctA2NIhZrdCsUhxtKT++iWAPrUUAcTU8x1Ch+Pqkv3VMdOG1KUCgUkUYJii6KJWhZyliuRwH1Tuxke+wG7WE90xjWM3brfSgUhxPK9NRFCS7bEcv1KEA3OSXZLTEtHaJQKKKH0ii6KMHCIdYaxblT+zM8Nzar2ykUiuijBEUXJdj0FGsfxdi+mYztmxnTcyoUiuihTE9dlFDTk7rMCoWi/agRpItiCTE9KV+BQqFoP0pQdFGCfRSxLgqoUCi6FmoE6aJYg8NjVfSRQqHoAEpQdFEsSqNQKBQRQo0gXRRrHKOeFApF10IJii6K1RpselKXWaFQtB81gnRRgjUKlSGtUCg6ghIUXRSrCo9VKBQRQgmKLoqRmW21CIRQgkKhULSfuAgKIcS5Qoj1QghNCDG1wWe3CyG2CSE2CyFOjEf7ugJGoFOsCwIqFIquR7xqPa0Dzgb+FbxRCDEaOB8YA/QB5gkhRkgp/bFvYufGGnBgx7ogoEKh6HrEZRSRUm6UUm5u4qMzgTellG4p5U5gGzAttq3rGpgahfJPKBSKDpJo1WP7At8HvS8IbGuEEOIq4CqA3Nxc8vPzo964WFFdXd3h/uzd4wFA8/kS6reJRN8SFdW3zklX7htEpn9RExRCiHlAryY+ukNK+WFHjy+lfBZ4FmDq1KkyLy+vo4dMGPLz8+lof1b5tsD2raQmOzt8rEgSib4lKqpvnZOu3DeITP+iJiiklMe142v7gP5B7/sFtinaiOHEVqYnhULRURLN0/kRcL4QwimEGAwMB5bFuU2dEqPWk8rKVigUHSVe4bFnCSEKgBnAp0KILwGklOuBt4ANwBfA9SriqX0YmdlKo1AoFB0lLs5sKeX7wPvNfHYfcF9sW9T1MDKz1ep2CoWio6hRpItiCApVvkOhUHQUJSi6KKZGoRLuFApFB1GjSBfFqPWkSngoFIqOogRFF6Xe9KQusUKh6BhqFOmiWFUehUKhiBBKUHRRzPBYFfWkUCg6iBpFuigq6kmhUEQKJSi6KBYV9aRQKCKEGkW6KIbpya6inhQKRQdRgqKLopzZCoUiUihB0UUxBIVVObMVCkUHUaNIF8VwTShntkKh6ChKUHRRLCo8VqFQRAg1inRRDAGhNAqFQtFRlKDoohiKhHJmKxSKjqIERRdFZWYrFIpIoUaRLorKzFYoFJEiXkuhniuEWC+E0IQQU4O2DxJC1AkhVgX+nolH+7oCaj0KhUIRKeKyFCqwDjgb+FcTn22XUk6MbXO6HvVLoSqNQqFQdIx4rZm9EUAINYhFCyM8Vq1HoVAoOkoijiKDhRArhRDzhRCz492Yzooq4aFQKCKFkFJG58BCzAN6NfHRHVLKDwP75AN/kFIuD7x3AmlSyhIhxBTgA2CMlLKyieNfBVwFkJubO+XNN9+MSj/iQXV1NWlpaR06xr5qjTsW1XHFWAdz+tkj1LKOE4m+JSqqb52Trtw3aLl/c+fO/UlKObXJD4ORUsbtD8gHprb3c+NvypQpsivx3XffdfgY2wur5MA/fiLf/WlvxxsUQSLRt0RF9a1z0pX7JmXL/QOWyzDG6oQyPQkhegghrIHXQ4DhwI74tqpzMjA7levyhvKzET3i3RSFQtHJiVd47FlCiAJgBvCpEOLLwEdzgDVCiFXAO8A1UsrSeLSxs2O1CG49aSTZac54N0WhUHRy4hX19D7wfhPb3wXejX2LFAqFQtEcCWV6UigUCkXioQSFQqFQKFpECQqFQqFQtIgSFAqFQqFoESUoFAqFQtEiSlAoFAqFokWUoFAoFApFi0St1lMsEUIUAbvj3Y4IkgMUx7sRUUL1rXOi+tZ5aal/A6WUrZZv6BKCoqshhFguwynU1QlRfeucqL51XiLRP2V6UigUCkWLKEGhUCgUihZRgiIxeTbeDYgiqm+dE9W3zkuH+6d8FAqFQqFoEaVRKBQKhaJFlKBQKBQKRYsoQRFjhBAnCSE2CyG2CSFua+JzpxDiv4HPfxBCDApsdwghXhBCrBVCrBZC5MW46a0SRt/mCCFWCCF8QohzGnx2qRBia+Dv0ti1Ojw62LcvhBDlQohPYtfi8Glv34QQE4UQS4UQ64UQa4QQv4xty1unA30bGNi+KtC/a2Lb8tbpyD0Z+DxDCFEghPhHqycLZ71U9RexNcKtwHZgCOAAVgOjG+xzHfBM4PX5wH8Dr68HXgi87gn8BFji3ac29m0QMB54GTgnaHt39CVvuwPdAq+7xbtPkehb4LNjgdOBT+LdlwhftxHA8MDrPsABICvefYpQ3xyAM/A6DdgF9Il3nyJ1TwY+fxx4HfhHa+dTGkVsmQZsk1LukFJ6gDeBMxvscybwUuD1O8CxQggBjAa+BZBSFgLlQCIlCbXaNynlLinlGkBr8N0Tga+llKVSyjLga+CkWDQ6TDrSN6SU3wBVMWlp22l336SUW6SUWwOv9wOFQCIt0t6RvnmklO7AWyeJZ33p0D0phJgC5AJfhXOyROt8V6cvsDfofUFgW5P7SCl9QAWQjT5jOEMIYRNCDAamAP2j3uLwCadv0fhuLEj09nWEiPRNCDENfWa7PULtigQd6psQor8QYk3gGA8EhGGi0O6+CSEswCPAH8I9WVzWzFa0i+eBUcBy9LpWSwB/XFukUABCiN7AK8ClUspGs9fOipRyLzBeCNEH+EAI8Y6U8lC82xUBrgM+k1IW6MaK1lGCIrbsI1QL6BfY1tQ+BUIIG5AJlEjdqPg7YychxBJgS3Sb2ybC6VtL381r8N38iLQqMnSkb4lOh/omhMgAPgXukFJ+H+G2dZSIXDcp5X4hxDpgNro5OBHoSN9mALOFENeh+18cQohqKWUjh7iBMj3Flh+B4UKIwUIIB7qz+qMG+3wEGFE/5wDfSimlECJFCJEKIIQ4HvBJKTfEquFhEE7fmuNL4AQhRDchRDfghMC2RKEjfUt02t23wP7vAy9LKRNlAA2mI33rJ4RIDrzuBhwNbI5aS9tOu/smpfyVlHKAlHIQuvnp5ZaEhPEl9RfbaIVT0DWB7eizMIB7gDMCr5OAt4FtwDJgiKyPYNgMbATmoZcHjnt/2ti3I9FtqTVACbA+6LtXBPq8Dbg83n2JcN8WAkVAXWCfE+Pdn0j0DbgI8AKrgv4mxrs/Eerb8cAadN/gGuCqePclkvdk0DEuI4yoJ1XCQ6FQKBQtokxPCoVCoWgRJSgUCoVC0SJKUCgUCoWiRZSgUCgUCkWLKEGhUCgUihZRgkKhCEIIkR2oGLpKCHFQCLEv8LpaCPHPKJ3zJiHEJS18fpoQ4p5onFuhCAcVHqtQNIMQ4i6gWkr5cBTPYQNWAJOlXturqX1EYJ9ZUsraaLVFoWgOpVEoFGEghMgz1pMQQtwlhHhJCLFQCLFbCHG2EOJBoa8V8oUQwh7Yb4oQYr4Q4ichxJeBmkgNOQZYYQgJIcSNQogNgfUd3gSQ+mwuHzgtJp1VKBqgBIVC0T6Gog/yZwCvAt9JKcehZ1+fGhAWT6KvAzAFvajjfU0cZxb62iIGtwGTpJTjgeDFcpaj1xpSKGKOKgqoULSPz6WUXiHEWvRFZL4IbF+LXm7lCGAs8HWgQqcVfWGfhvRGL8tisAZ4TQjxAfBB0PZC9MWBFIqYowSFQtE+3ABSSk0I4ZX1zj4N/bkS6LV1ZrRynDr0+l4GpwJz0FfEu0MIMS5glkoK7KtQxBxlelIoosNmoIcQYgaAEMIuhBjTxH4bgWGBfSxAfynld8Af0UvMpwX2GwGsi3qrFYomUIJCoYgCUl+e8hzgASHEavTKqjOb2PVzdA0CdPPUqwFz1krgCSlleeCzuejrPigUMUeFxyoUcUYI8T5wqwysP93E57nA61LKY2PbMoVCRwkKhSLOCCGOAHKllAua+fxIwCulXBXThikUAZSgUCgUCkWLKB+FQqFQKFpECQqFQqFQtIgSFAqFQqFoESUoFAqFQtEiSlAoFAqFokX+H2RpMYqsJUI0AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 添加白噪声\n",
    "rng = np.random.default_rng()\n",
    "# 三阶多项式放大器建模\n",
    "dispol=np.array([0.5,0.75,1,0])\n",
    "\n",
    "ns=np.arange(300,500)\n",
    "ts=ns/fs\n",
    "ys=np.sin(2*np.pi*f0*ts)\n",
    "noise=rng.normal(size=ts.shape)\n",
    "ys_n=ys+noise\n",
    "out=np.poly1d(dispol)\n",
    "\n",
    "plt.plot(ts,out(ys_n),label='With white noise')\n",
    "plt.plot(ts,out(ys),label='No white noise')\n",
    "plt.xlabel('Time (s)')\n",
    "plt.ylabel('Signals')\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.show"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fffd293e",
   "metadata": {},
   "source": [
    "用于signal.pwelch计算和绘制输出的功率谱密度。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "13e7d269",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import math\n",
    "noises=rng.normal(size=t.shape)\n",
    "y_n=y+noises\n",
    "f,pxx=signal.welch(out(y_n),fs,nperseg=2048)\n",
    "Pxx=[]\n",
    "for i in range(0,len(pxx)):\n",
    "    C = math.log10(pxx[i])\n",
    "    Pxx.append(C)\n",
    "plt.plot(f/1000, Pxx)\n",
    "plt.grid()\n",
    "plt.xlabel('Frequency [Hz]')\n",
    "plt.ylabel('Power/frequency(dB/Hz)')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d4811735",
   "metadata": {},
   "source": [
    "由于放大器引入了三阶失真，输出信号预计具有：\n",
    "\n",
    "1.DC （零频率）分量；\n",
    "2.与输入频率相同的基波分量，180 Hz；\n",
    "3.两个谐波——频率分量是输入频率的两倍和三倍，360 和 540 Hz。\n",
    "\n",
    "验证输出是否符合三次非线性的预期。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "4c7f8089",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.collections.PathCollection at 0x1ba79b01a00>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import math\n",
    "noises=rng.normal(size=t.shape)\n",
    "y_n=y+noises\n",
    "f,pxx=signal.welch(out(y_n),fs,nperseg=2048)\n",
    "Pxx=[]\n",
    "for i in range(0,len(pxx)):\n",
    "    C = math.log10(pxx[i])\n",
    "    Pxx.append(C)\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(f/1000, Pxx)\n",
    "plt.grid()\n",
    "plt.xlabel('Frequency [Hz]')\n",
    "plt.ylabel('Power/frequency(dB/Hz)')\n",
    "from scipy.signal import find_peaks\n",
    "Pxx=np.asarray(Pxx)\n",
    "peaks, _ = find_peaks(Pxx,height=-1.60)\n",
    "plt.scatter(f[peaks]/1000, Pxx[peaks],c='none',marker='o',edgecolors='r')\n",
    "plt.scatter(f[0]/1000, Pxx[0],c='none',marker='o',edgecolors='r')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "955d8d72",
   "metadata": {},
   "source": [
    "pwelch工作原理是将信号分成重叠的部分，计算每个部分的周期图，然后取平均值。默认情况下，该函数使用 8 个段，重叠率为 50%。对于 10000 个样本，这对应于每段 222 个样本。\n",
    "将信号分成更短的段会导致更多的平均。周期图更平滑，但分辨率较低。无法区分高次谐波。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "6315617c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Power/frequency(dB/Hz)')"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import math\n",
    "noises=rng.normal(size=t.shape)\n",
    "y_n=y+noises\n",
    "f,pxx=signal.welch(out(y_n),fs,nperseg=222)\n",
    "Pxx=[]\n",
    "for i in range(0,len(pxx)):\n",
    "    C = math.log10(pxx[i])\n",
    "    Pxx.append(C)\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(f/1000, Pxx)\n",
    "plt.grid()\n",
    "plt.xlabel('Frequency [Hz]')\n",
    "plt.ylabel('Power/frequency(dB/Hz)')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55bb175e",
   "metadata": {},
   "source": [
    "将信号分成更长的段会增加分辨率，但也会增加随机性。信号和谐波恰好位于预期位置。然而，至少有一个杂散高频峰值具有比高次谐波更大的功率。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "0ecfef39",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0, 0.5, 'Power/frequency(dB/Hz)')"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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9+lBVVZVThtXV1TmfG8WSjfVs3a0cvU96kXsVwoKFC9m9Kt7kt3zIuWqb02Kq2b27IPcMhStPgPsX7mLmR/U8eEZHKvLgHVRIWbNBG5zn8tIr0+nWLv2+miJnpvOmr65leO82dG6bnO/MFdsBeOi/L9KmDA7olvk9LZXyzESqnGHbqUxc5JTJJfuGp8k3xSrTuIqiRlV3i9vUEZE2ZGiIisjzBHtK3aSqT8bM90RVXe0qpSkislhVA81VrhJ5AGDUqFFaWVkZM4tkqqqqyPXcKK4cPxGAlXeelnasbMok6uuV4cOHc8JBvWJdLx9yLv54K0x/mTZtKjJeq75Bmf/+Jo4e2DOrPHKVc1dtPfe+uJTrxxxMh7aNldL0ZetZvq6ay0cP5CsvOnMNjj/hJDq1y2buaPay7qqt585nFvOt0w+hW4eKJucVRdupz1JTX8dxo0fTp2v7rOQEJyJwtw4VVJT7DAaTnfcv6rwV66q5cvI0TjmkG4996ZikYx1fnMyO3fXcNmsXACvvPCfjfUycMpUrJ2/n7kuGc9HI/hnTF4tEefrLKEZ5xUqTZwpVP2UirnvsNBH5PtDBXSv7n8D/ok5Q1dNUdUjAX1wlgaqudv+vBf6D06tpdl5euo5/zP0gbX9NXT3T3llXBImiUVVmLFuf0UyQcI+NYU74w7TlXPKHmcxcviG2HNtr6li6qT52ej9/efU97pu6nAdeWpG0/7KHZiXmGRSK+6ct58kFq5P2PTFvFY/OWMk9TTDfrNq0gzdWb8mYzjM95TKYXVNXz6ifPs+N/16U9blefqs3p5vz2ldkH+bl4+1Oz+ixmSuT9u+ua2DN1l1ZX89IZldtPRuqHSfU9zZs56dPv5VXc6WfuIpiPLAOWARcA0zCWT+7YIhIJxHp4m0DZ+AMgjc7X/jjbP7vifRQ3Hc+s5grHp7Na+9vyks++TD/nnLXVA64cRKfe2gWz721JlZ+cbJ966OtgNNajcs3Jizgtlm72Lh9d+xzPLyBxAUfbOKEO1+MvEa+P407nlnMNyYsiJQrF0782VTOvfeVjOm8SXa5KApvbZFnFn2U9blt3B5IbX36PZZFxHmpqWussPx4RdW2PLma+b8nFnLs7S/EXgflZ5MXM3flRlZv3kl1jc1z8Lji4dmM/KmzLNC1f5nPQ6+8y9K1hXE4iOv11KCqD6rqJap6sbud8/cpIheIyCpgNDBRRJ519+8rIpPcZH2AV0RkITAbmKiqJRXX4N31jo1y047sK0I/gvMRBrnH1jcoa2O0vj7esouB4yfy3oYdiX2btu9m3nubMvcYYjzJWvejriiPPxbw+qrNALEqhLXbdiVVUF7FNHXJOlZv3sm0d9amnRPUI5qxbD07due/Mil3K+9pS9bys8mL8359P14JN2UehURU7EGoKm3ce6yrT883agjomj/PS1RYfjw9lzq7/Nk3nQZMXUM8RfH7quVc/IeZnHDni1xw3/TANKs27QhUcK2ZWe9uTGx7PYlCzb2J6/X0roisSP3LNVNV/Y+q9lfVdqraR1U/6e7/UFXPdrdXqOpw9+8IVb0t1/yyZeuu2kQl52fbruSAubkMn27bVZtVq+iOSW9zzO0vZGyVB8n7yrL1XPT7GTw+J91sBo2KKc7L5X2EFSmtw7/Oeo/P3D8zLf0bq7ckrlsW8JZt2r47UaHvqq3nmNte4Ps+c0mceq5Rfuf3Bxt38LmHZgX2/nLBbx4pdwX6cMsufl+1POtrpb47ccjlm890SlCjob5BOeDGSdzpKsAN22sYe9/0JHfY8ghNUbUk3fy65ONt7HYfTGrPKJv5QqmmFK/FvG1XLQPHT+Svs95j+bpqTvzZVB6bsTL2daNILaNfTnmH425/IS/XLgSq2ugpV0xFgRPryQsGeBLwG+AvBZGoBLjq0Tmc99vpaS/40FueC0yfzbMZestzDPnRs7Gv88JipyWdqdcS1IJcsc7p8XywaUfS/g3VNahqmulp847dfHPCa6zbFmRGcFKlKoqb/vNGomXz2vubePClFTz/1hrOvfcV1lc7MkuASj3qJ1M469cvA43mnH/OW8WCDzYD6S3YyDJ2j213Fc/SNfnpfh97+wssWuWMKTQ15tLmHfEVhab8zwavnMKkDSpHrxEw8XXHXLWrtoGFH2zmrmcbPdijTE+p1NU38MlfvcRv5tckfgcR9F6kcuvTbwXu95T4H195l9WbnDGVpowX3uubY+L/7M/81Uv85oWlfJzlmMrabbu445m3szYf1tTVZ90j3l3fkHg+hfJejmt62uD7W62qvwIyuz20UOa954w5nHDni3xzwmuh6bLt3mfD9GXreXf9dt9aFcHpXl2xgYHjJ/Lu+vTKccN250Nt36ach15ewcr121m6Zhsjf/o8f531fiKdd+2fTV7Mfxd8yNG3NZoRdtc10NCgCfNRmxDT08DxE7ngdzO4bdLbrEiRJawF6ZnJ/MX47ccXAOkVU9T3VtfQwMDxE/nti8vCE+XIcrdV3SZFUfhbnd/+x4LE4PeLi9fwh2npPY7dOZhFcrLueqeEvJpBLc6wbLbsbFRuQb3CMOrdCwZYsJLzjaEKHw3pJeSjYtxd18Aud02Wu31OCv4yWvzxtsR2Ns/j+/9exP3TVjBj+XoAqmvqWBZj/ODMX73M4Jufdb/p7bHyqqlryFhPNJW4pqcRvr9RInIt2a1l0SL5eOsu/rvgw4zpcnk4v69anvbiffefCxMv7mUPzWLML6oS33vYS3rpA68CcPukdLv5mq2Oorh7yjv8dOLbfO7BVxMt9hnL1/t6FM5G0EDtiJ9M4UuPzUn0KNr4aow5KzempXdkjf6dSpCnRhwl7F13e41TZk+7LeKoUz/esot/BniwheaBZz5Lvqi/4v/3/NWJwe8vPTqXO59ZzGvvJ48N+e3nn7znpVimjJx6FO5ZYUUQpHDDxgr8z608i0ZRxiExDZclLp6iqG9oNLvsrmvgH3M/CPX8ueWpN5O82T517yscFhDOPWxMLZvvfFdtQ9I5X/jjLE775bTIcxoaNEk5TF+2PlZe9fXaqDgLNH02bjvhbt/fHcBI4NMFkagF4dUd22pq+ewDr7IyZgsAnNa7V2l7rN1Ww/8WJiumxhcgmR21yhE3Zze2v313Pd9z7ff+Ve0aB4XTz6muqaNqybqE+cBf+V3yh/SxiSBZM9lNk75rt0zTTU/pg/readtq4pt1rnxkNt974nU2xfTE8kRP7VHUus1lT7GncsHvZvCMby1yf+WzZM22WKaMXBogmSrfoGcRNqbsr3SyMb2lZRGiZPzv0oebd7Jzd3xXar+i8Jj17kb+74nXeWphcOPu0Rkrk7zZlqzZFpju0wFjbpCd/T8xPufK+dr7mwEn2GBQz+LFxWs48PuTkvbFNfc1JI1RxBYxK+Kansb4/k5X1S9bCA7warXJb3zMzBUb+HWWsXSCYvmk2jS9lyX1JX1vawPbs/iwIHlAsm15WaIi8C4dZU/dXZ88cBxF6ve0fO12hv/4udCutz/fFeu28+U/zWVRynwDBU65qyrxe9nabYnKd0cW5eCNv9RnWQunfrSe4owyKXm2c2hULEEsXbMtqRUcN1ijqjJ35cakCtd7T8J6ZEG3Hdaj8D/rOJWWJ0fcCvWfc1fxkjuucPydL/LFR2fHOs+fR1BPe7NvPO/1VZu5fdLbWZmN3vxwa+D+sCsENdi87MoEnnuzscHwebdnsau2ns8+8CpLXNPW82+ne/XF7cTVqyaed6FCrMQ1PX076q8gkrUgvIHKbGfsXvKHmTz0crLzWG1KTdwY9yf53FzGVv3nlJdLmukpCq9iXLvNccNNnZAWxef/OIstO2t5dMa7gcdTK5Ypb63h3/PTr7/T13o/7ZeNE/SD3Dkz0aCaphh31ytDbwl2NEj9aL1z/RX85hSHgzgV5qJVWzj9npd44OV0J8JMpz+18EMu/sNMnvSZRxsVRfA5QQO+YQ0Ef6UTx77uXSb1vlNF8Y7e+vRbXP7w7ET+r64INmUG4Sn6D7fsShpLgeQG2AW/m8EDL63IS4DFsOeZ2mDbuqu2Ma3A1wPGOR+e/i4zV2zg5iedqWHt2qRXxanfeH2D8upHdWmmNVW/S3WMG8mBbLyersMJBtgPuBYYAXRx//ZIvI/R8/rJZo6BR6pP/m0T30pyn5UQ22NuikJ8240fbG29U2mmmleCWO56Uv155nuhacI+qB3uWEJqqyfObO8ol9dsTAJeEVz4uxkM+v4kfvDfRVz9mBPlfnONhi5ck1oyXkW1cFVjzye1wr3jmcVsdd1iw9xjPY+0Ba5pwk/UXb2/YUfCjOKfBJnq9TRp0Ud8vKXRzHXtX+alXSusdzW0X3dUlX/PXxUhiU/eRI8iVvIE/gZAnLGbgeMnJpkOv/OPhUnHfzrx7bRz/O/IC29HT0QNw19MNXXJysGrvN/bsJ1htzyXqBPKRAJ7Yz+f7BhkvG+9bYCiSC3HB15awR8W1vD0oo+SzLANqon6oKg9CqA/MEJVv6Oq38EZo9hfVX+sqj8uiGQlytpt4bZl7xm99M46Bo6fyOrNO3l/ww4emR7ckg5iV21DUjjoxsHsXKRNxm96KhdJeqmefv3DpNrwyQWrGejGp/LjXWKu6xkWxNaQSvHfrzm9hNQK9Zuup1OupF4vzOyyZWdtwmV3lWsW+sur7/N8RMWRqHhTrnnMbU6FdsXDjeaSoApyY/Vu6huUKx+ZE30TSXk2mgSra+p488Mt/OC/i5Iilb64uFFmv8uyv0KsrW/gK3+dz+cefDUyv7Ae2cF9OjPtnXV8O6UiDuPjrbsY8ZMpvBNi+/dIHSz2j03EdUP1hxmJmi3vPTX/O3LVY4HL32TE/w36J7YCvLxsPd9+fEHCJd2ff5TZ7qMtu7hv6jIqAtzKUt2K33ajI6zduotjfAq1tk4L6oEJ8T2X+gD+fvVud98eh98EFPZoJsxxXE9fe38T1/8tvdvpRzXdTDBhdqPrqhc6o2rJWs699xVe++Hp9OjUNhGcLRuSehRlktRi/caEBVx4VL/E79TxFu/cOLbq+6dFz8WMstfnQtwexXf/GV3hBV3G2xXnMwyczKYaOTO9UREF5a18+bG5zFzR2OO673PO/1v+1zi/wJ/vdreFumlHLe9vdCqzDzOEYg8rP9XG9y8Oz725ho3bd0c2jLYHTDbNZZJY3HO8cv3XvHi9orh5ps4C9xoM/Xp0SMk/erbIxu27uevZJYwc0CMgP+e/qvKbF5YlJhum9phOvmsqI/bvHvMuciNuj+JPwGwRuUVEbsEJN/5YwaQqEuu21bBsU32SR1Aq3sDf8nXVabGU/jb7/aSJbHEmFAWxNcD84c0GXrhqc2IAMFv8lVGQu6P/00s1Q3keInmI5k2tT9v6zSK5kjprPUzEDwOC3XnMWL6ep5aHe0/FabClji8BfOLuaazevCMgNTw+p7FBEHT93XUNSUoiDH+u/rGbeSudXl/qs77jmeSKJsx+r2hW77A3OS6qIRB0JBdFkWlaSqod/4cpgSSTXJdj2spum9RYbmGeYmu3Jk9WXbVpB9tiRGKIUqBbd9Zxz/PvJHoUURRoiCJej0JVbxORZ3BmZQN8UVWjm8otkAt/P50PNu5i/54dE62xVGrrlfPvm57m2gqO980Fv5sROrs4iLgP1nNP/M0LS5kfYM+Og9/09NAr77IuJZCb/+MpD5lhlY8ubq2vhX3cHU0PjRDXNBJkB/b43IOzIs8Nuu1Uk1dtSM9h6uJgxX7Dvxbxg3MOB5J7M95mUATYJR+nm3VUnXGKXp3bJe33Zi+nDrbeP20FH2zcwe8uG5mWt5+GBs3o6BDkZpxuCvRtB+WTQ+32agYFOubuKkYN6BmqtPx5PvtuPPfqv816n9svGAqEj+ukuhHHfTeDep2ejBKjOe/VCYWKHpvNpLmOwFZVfUREeovIAaoa3/jeAvhgo9PiDAs54B0LUhIe/mNx6tT6BqU+hrrwKvnl6+LP1cjEkymTCf1ShA3M5+JhlHaNAq8F/dZHW6lv0LT4REGeJZnwlGdQyzrdayr4vQkbs4FGM0JQvRPkpvnp+2fy61PaJu3792urAkNd3B0REn3Soo9RVbbsrOXqx4LHT6Ie0/z3N9GlXRvueT49j9SBXj+BJraQSjdsjgo4Yd+jeG/DjrRxBD/+Z1eTQyzB+pAuRXn2r5gjQ4CiUFV+NnkxI/ZPN0uFUdQehYj8CMfz6VDgEaACJ9bTCQWSq6hEBe275s/pXiNh5HOAKeH+1oRKNlMl7/9ewzyg4kb8DOODjTt41udXXij+Nus99uvZkUG9O7Nfz45A8qzyuHhjMkGPMtVkEjYWsXVn5hZr3HkdW3bWoprshv3G6vjjCH6emLeKXXUNrAypUKNMQhf+bgYAJx/SO+2YNyvZwyu6Nz/cwtTF4VGAUwmKOeZx9MAezFkZ7lCRCf+95VK3r1wfXGZhczByoUE16wCUxQ4KeAFwHrAdnCivtEK3WK8yiJrAtSKL2dfZBFLLxCZ3rkYce2cYmSp5LzYUhEcLbWpv4PN/nJXVBLlceW/DDq58ZA5j3bDU22vqktww4zL3vY3srmsIXNsj9aMMC3NdXZM532zcGv+3IvtItEF874nXA9eR8IjzqIPGy+YFeMTtqq3nnN+8wi+eS++BpJbjETdP5uWl65ociDGKJEWRQzbfCXGMeC1Hs3AQQWF5MlLkeRS73fUnFBILCbVa8mUaWRhhoioGa7ZGLzo0fVmj3TfKbt0UtuysbZZ1A9a6rdGN23fzxLxVHPGjZwMrsEz8ffYH/G3We/zNF0TRI7UowuzhcQIC1tQ1cMMTrzuxfjIU8b+X5kdRAJErzb3z8Tbm51BmQUSZa1Nbzdt31/PI9JWR8aWa6jlX6Zvln217rhDjAEGrCuZCUU1PwD9E5H6gu4h8GfgS8GCumYrIXcCncNxsl+MMjm8OSHcm8GugHHhIVe/MNc9i8Nup+Y9m2lyEvXC5rLrmp6K8jHsLEOU1Fb99O5NbbCY2hoQITxvMDlEIuyNs9h4L3t/MyzXrQ+MPFYq/zw4PkPh4FsEToxCRyLkOEwLWS8nUw4pSPHFY6zNrZdujyDb8S3NSNNOTOIb2x4EngH/hjFPcrKr3NiHfKcAQVR0GvAPcGJBvOXAfcBYwGPisiAxuQp4ZKeHnnzf26do+VrqwXlVTP5ICWhOSyLQMbDaEtSB//FSyy2VYz8Fb0S0Kz6QYZ3Z8SySb6LPg9NYKVemlkm2RZ7MccHNTqCLL2KNQVRWRSao6FKeCbzKq6l8B6FXg4oBkxwDLVHUFgIhMAMYCwSuZGLGIO/M1zGzW1G53JvNXKRLWM/RmmnuEucdmQ3nKRMjWgDM7ObtzlKb3XuNSlsVckalL1vLFLGbZNzeFUq5xTU/zReRoVS1ECX0Jp8eSSj/A3yddBRwbdhERGQeMA+jTpw9VVVV5FNHweCwixtOezm+fWdDka2zbupma2sKP4TQnW7Zs4bUF2Zn/NmzYwMxXo0OP5Iva3TXEXdi4lJUEwOuvvw4f5X+poLhXPBa4TETew/F8EpzOxrCwE0TkeWCfgEM3qeqTbpqbgDrgr1lJHYCqPgA8ADBq1CitrKzM/iKT02MbGUZcXl/fdG+uXnvtxVsbcl/SsxTp3r0bQ4YdDHPjhxHv0aMnRx8zBF6qKpxgLu3atSM5QlHLZejQYVQetnferxupKHyT6j6Z7YVV9bQM174SOBf4hAaPXK0G9vP97u/uM4xWS1SYkZZMtiZLRUt2jKKUKZbp6QmcSLEPq+on8pWp6830f8Apqho2fXIOcLCIHICjIC4FPpcvGQyjFImz7kNLQ5Csxxuqd6Wvu1AomimbZqFYg9llIvJ94JCgBYpU9Zc55vtboB0wxZ29/KqqXisi++K4wZ6tqnUicj3wLI577MOq+mb4JQ3DKFWy9ZbbtKO22SrwVqUoCnTdTIriUuB8N13eZmKr6kEh+z8Ezvb9ngRMCkprGEbLIdveQX1D+gqEhWLDrtbjPFAs01NP4OfA66r6TEEkMAyjdSOErhwYRn2DxprRng/e2dR6FMWqTYUZ48o04e5yYB5whYhcKSJBXkyGYRihzH53I//3r/ClbIP4eOsuznfjdBWaoJ7LAb2cKEVd2uXf1bSQ/CQginA+iFQUqnqdqo4AbgF6AI+KyEwRuV1ETnZnTxuGUWJ8/rj9iy1Ci2FVdbqiGN6/GwB7d22XdmxPJFZQQFVdrKr3qOqZwKnAK8AlOCvdGYZRYvTsZBVcU5CYS//2694h8nhrIU6sp3IRScS7VdWdqjpJVb+mqqMKK17ro22uK5sYRha01phRzU0mRXHp0ftFHm8tZKy1VLUeWCIirb4v261DReZETaRNyMpxhpFP8v2eha1P0trJFMuwFXnWRhK3edsDeFNEXhCRp7y/QgrW0vnlp4c3W16/u2xEs+XVFHp3yZ85JI9rQjU7zTFQmu8eRdjSuK2dfK5S2ZKJqyh+iBNu41bgbt9fqyKf70Q+V7fLRKc8VDjnDOubB0miOWCv3Na7OjUgdk1FDsuaForLjs2us92pneMDckS/rvzruuMLIRLlAeXzk/OH5LRuOASvGd5cXHn8wGbP07vbPbQjlUbcwexpwEqgwt2eA8wvoFxFIZ/vRCGXcUwl21j/QXz91IPzIEk0uU4GGrBXx7R9+TaF9Onajj4dc7tmtq33Tm0dxa4KIwf04Oyh+fc6D+oAXHr0fjmXWzEb1s3Z6CqlvHNh1IAeBbluLEXhrmr3BHC/u6sf8N+CSFRE8tnNzEflHTuvPFSazTELNldFcfHI/mn78qko2paXMev7p9G+TY6Kwueg8PVPZFa47SqcHkUhSzyoodKUd/JzxxRviDLK/+Okg3sVJlO3qKKK7O5LhpfcYmeH7JO3ABpJxO2HfhU4AdgKoKpLgfzHsm3hXFc5KLHdnF3Wplaavbu0ayZFEX5s74jxi96d048Vc3A1dZVAf4+if4/M7pKFEv33vrGqoEZPWZnkVLF9+/RDuOmcw5siWpOI6p3v1alt6LGmjIl5PYmwxuOCm0/nooAGTBB/vTp0GZ28U6hAinEVRY2qJgK2i0gb9pwB/9h8+aQDE9tBL9iI/bsXJF9/i+t7nzwUgKH9nAlDHdtGz4m8cEQ/5tx0WrOsAxyVw4vfrQw9FiRbIdw/416x8tDeybL47TzZFGMWaYe5E8Ci2NunwFJ7D2/femb8zFJoUy7NOqjbM6Xyj+oJRZmGRh+4V84yZHq/shkXHNS7c85yhBE0pti3W/vQJYybSlxFMc2NIttBRE4H/gn8ryASFZGmfgphL3SntuXMvPFU/nL1sQXpqgYNXJ5wUC+e+cZJGU0G3iBlrj2KW8ceETtt8LIjDp0jPrx9urbnhjMP48HLG6fttM1iUDaud1HcujC1hesv/zjmNa9y0yw0RbZmu9R6rkNbz9yV+Tr/vHZ00m8v6/YVhXcguGhE/3RFEVFpewrskoDWfSF1W0XM+VDzf3g6+3RL7oFO/PqJhRCJ8jIpeo9iPLAOWARcgxPR9QcFkahE+NqpBzH+rMOyOkdCSvPJ60+gb7cOdGxbGHfIMAV1eN+ufOLwPpHneqfmqihOH9yHhy6PN+8y1zEKEeG6ykH09X1w/7rueCoP7c0R+3bNeP6ogRkG+CTpX0ZS6y1/6zPOHXqpsymOeGkbEzVlELZHx+D5RC98pzLna8bhsmP35yfnH5FWvlH34tXXcXpc2eC9q031Ck5VegBtIjz2mtJTLi+TglkG4iqKMcBfVPUSVb1YVR8MWZWuReN/H/t0bc+1pwwKTxxAUIV9xuA+HLR3fgaYwlrdQd+Rt2/0oL1YcfvZ6Qm8dO7/Lu1zU2KCcNrgaGXk0dDEIJ1ey7Jf9w7s270Dj37xmFhyZ2s2ufezR0UeT624/AqwQTXjgLZ3elZWqiy/tjC7frzrNJ573vB9ucJ1Ty30sND5R/WjY9s2aeUb1aMYd/KB9OvegdMH59dzzGs3FcLrKbqHFP86V594QPJ1JfsFouISV1FcDiwUkVdF5C4R+ZSIFMYPq0QIephjUmzTqRTalW7yN0/ikS8eHStff4UQNRjonXt436789nNHMfPGU7OSKZvKI5seRdDcCe+ZZNtGyban0DfFVJCeLvmKST0KdQZ/I+WR5PuIczv+sturvfCT84ekpfFfpylvov+Z3nXJsEQDJez9zpdJSkMqZ/+3+Oerjklsd2nXhoP27sL08acmDVwf0qdz0vVyYUBPxyW7T9f0d+H8I/dtlDmmuj/uwJ6J7TimtDiMO/nApN9lZVKw9SjizqO4QlUPAS4EPgDuwzFF5YSrbBaLyOsi8h8R6R6SbqWILBKRBSIyN9f8ciGod/DIF48JSNlIoeeA9e/RkTGHhlegueC/zXOH7UvfbtkFOYv7Yo8/67CsPtzD+6b3wrwKJNtGU9xvL2ESypAutSLzl0EcJRY3Hz9JSkDgC8cNYOWd54Tn0QRN4b+fdm0anSHCFEWHivwEkfbKLvU78iti/7Mv99mFJCl9mZs2uIRHDejBvhkaA9dWDuKBL4zkhIPS3W9/dWl0jzOICeMax32izEvZPLbUb6/oPQoR+byI3I8zl+I0nKVMT2pCvlOAIao6DHgHuDEi7RhVPbJ5AhA2FvzoQZk9Jq7xafS/XX1sinJpPsucf1ytR0fHJprqNnh8yP00tRPkvfO9OqfbYv/9lcZZx9eeMiir1k7QTOBEjyLrso2+Se+oVxaZBgRTv/PzhvtbmJkJSxMViiXOPftThDUeshlDSSWsfjvp4OiedhBty8v4+UXD+OG5gzPK5vfcC3s2/vc4k2nvL1cfG1kORw/sQUV5GWccsU/aHI6ReZjQFqeHH+s6qWM5ZUKh1nqK2wb+FXAk8CDwdVX9uarOzDVTVX1OVb0lr14F4jkkFxj/M9qvZ/ps4FQuHOGIfcnI/hx/UK+izeL0tyw+c/R+/OyioXzxhIFJaa5KsWf6zm5S3t49z/3B6UleSQAj9k/+qJqqOssTJpsmXigDCvTq3I5OAa7FR+zblc+lhOzo1K5NIsxEHK+TWvdrPrBXfLfJ7HtRIc81xnXC3uOw/XddMiyWTIf5JoMd0a8rnz56v4j3spF2vh5LWIvZf7+JzZB7bV9RHvkOhYUrWXrbWfzjmtGBx7IhqkeRjXEg3URXvKVQAVDVXiJyBHAycJuIHAwsUdUv5EGGLwGPh2UNPCciCtyvqg+EXURExgHjAPr06UNVVVXWgtTuTkwVCTw/dd+cOXN49MxOwKa0Y2+++SYAa9etTzpW31CftVxRMgHMnT07sf3yS9PoA7zy8oqkNG+sC16K8uOPPqSqakPOMs2YMZ1OFc4L+8ba5Dz88lZVVVG9fUfodVLvbfUH76UdW7/TqWBrdu9O7Nu8uXHpx8r92jC6bxvumL0r6VobNqyPvAdtaKCqqoqG+npAeO21Bfzs+HKgnKueS5b5e8PqWfr6nKR906dPZ/Vq5915Z+kyqmrfI4q92cznD2/LST03UlVVxdp1jrzeOxPE9u3bE9uXDmpIK68he5Uzf/5rid+L30pe6cxLXx/Do2DWrFfTzgPYXutUQu3Kocb3Gs985eWM17zgoAoq96vnGx87v7dt3Zp2D6+9toBd75ezbVvycp4rli5JbC9f/EZiu7a2NvCbqN5WDcCatWsBOHNgBW9uqOeDbQ2Je9pVUxMq65YtmxPXXbyqFoDDepYx/eWX0tKuXLk7bd+nBlXw2po6Ru3TJlC+WTPD29gNMeuHdWvXMmNG8gqA26urWVezPae6LxOxFIWIdAX2BwYAA4FuQOQbJyLPA0GuCDep6pNumpuAOuCvIZc5UVVXi8jewBQRWayq6U8LcJXIAwCjRo3SysrKTLeVRtvpz4P7AiXOnzwxcbyyspKqIdup/EUVAEcffTSHpk6Zd9OfV3ks9772EkcevB+VlY1zDcpfmAz16S/DHRcO5dxhfenSvoKB4yemHQ+TCWD0ccfBy1OT06SyZC3Mm5O2u3+/flRWJg+MPrbvOv48cyXPv7028FK9OrdlfbXzgZx00ol0be+4U9a9tQbmNw4lVVZWJmStrKykw9wq8FV4affmu6+DDzoQli1JuqePt+yCaS9QUdE2se/3S2bCxo0AfPH0EZxySG9qui3ll1PeSVyrd69esHZNYL4AZeVlVFZWcufsZ4AGhh85nOMHubbp55LLurKykpq6epgyObHvxBNO4LWaZfDeuww66CAqTzwg7Rn5OWjQIMad3OhRN+GDebDmY4YccQQsaAyh9q/rRnPR751KpUOHjomyG9W/c9q78M9vnM7bH2+F2TMAOHbkcH630GlAdKgoT6QvmzKJ+nrlya+ewNiQpUaPO+44eCn9fdq6qxZeeI6ysvKkdzj12QUxcOABjD3tYL4x1UnXpWtXKitPSLoHr9y7LHoZtm4FnDAZXTtUwMK5fOKwvRl+5IEw21FkbSsqkt939zpdu3aBrVvo1as3rPmYgQP25/2adbBta0Je/7eeyoiD+1FZ6fSS1sx5H95YxLAD96WyMj0i9Gu178Cypcn3OmAA93750PQLu/KddOIJMHVKYvdZQ/bhmTccDdqmTRuoy7y+eO+99+bkk4bCC88l9nXv1pXO7dpQWZn/meBxTU+vAJ8CXgc+o6qHquoVUSeo6mmqOiTgz1MSV+JEpL0szNVWVVe7/9cC/wGiR5Obgf19JinPuyKVc4b25eA+XfjXdcenzcUIszV/9pj96eJWuNlGy4xj8fJ3zf121iBb9imH9Oaz7kS9oG7yYfs0zl3wd38zDeb7u8VBnkV+z5Wg6LCNu9LL8LYLhnDKIY6tPNU9NevB7Ay991RHB5FGk0Hqq3za4enOB2GmjdRs/TN6M5kUOrQt56j9uid++8088354WmMe7mUO7xs+/yTMhp7LREGP1GcQeDsB+04b3CeptPznhUnRaHlqTOFtpbo++72oAA7auzM/+lQWk0iD9mV6f3yD8L+/bASXjEq2vH//7MOSnl8YJTeYrarDVPUrwFPA5qZmKiJnAv8HnKeqgfYIEekkIl28beAM4I2gtPkiXoXr304/4fVbzuDXlx4JOBVy+xSPEO8l+tqpB/G/64NnaB49sGfg/jgyhaZJ2R4cUVGAoyyuPvGAQDfM8OtGC+Kv7LxeiJ8HvjAysR208E6U11OUvT9TeabKnfFDD6hIyxKuu8n7g2bwpj6voOf39NdOTJIrTKR/XXc83z3jEPc6AXZ6kpV53+7tQ/NMnBuyv1EZhp8Lyas4Xj/moMA0cefttCkTjj9oL44ftBffP+fweK7RAe+JN3bkravhHfLWBvGoPKR32jebb/yNr7OG9k17/8adPIjJ3zw57bwh/ZK/Wf9Zl48e4A5mF9fraYiIvAa8CbwlIvNEJLoGiea3QBccc9ICEfmDm8++IjLJTdMHeEVEFgKzgYmqOjn4cs1HJnfQru0rkqKJhnFd5SCGhswmzRRYLmzmbBSpYl84oh8QPkDZpryMH5w7mF4BAfmCPEzAaY1F4TeP1/p+fOG4AUByZXhigFtiY4s/u4/hsH26cmOMWfaN3jLR1099BwRJhA5PDS0SZ3AxKMmQft2SaoKw64wc0IPrA0LEhz3Xf1wzmt989qjIEBRh5/ortMnfDHZ6fOSLR/Pid08JONfBW9AraDXJIAeS8jKhY9s2/O3LxzGod+ekJxP2JQa9J96MZS/ciiZ+N78DSlr5xhBhwF4defpryWXuXaZDRTm3jh1CuRRuHkXc6bgPAN9W1amOgFLp7stp1RVVDWxmqOqHwNnu9gog3ShYQJpzcRZ/Xqkx5Ifv150fnjuYnzzdOCDpf7cev2Y0Z9yTPlQTtG5DUH7QWDll6o0EHfYvfuO/7n49O7L4J2dy2A+D9bn/w925u9HG7fVavONH7d+dg/uEz6PI9lMok+TW5co7zwkcB4oyPV127P5pE5z8J15zyoGIkDDZecRp4HkNg+4pDQD/s7n06P2569klxCXJJOjvUXTrwHnDkxsiZwzuw3NvNY7hiMBfrjo2rcHidztNbYl7nHxw76TKN1XpegrKv/fdO85my85auruu3f53KrUiz6JDkSSD19JO7amWi9C7g7Bup6bJVShSzbmZap2/ffnYQAtAuzbldKgo50efclyMO7UrZ9Wm9MH1fBBXUXTylASAqla55iAjR7yXeeHNZ9C+bXrr7qoTD+CEg/Zin67tOfLWKUnHUuPHdGrbhn9cM5oDe4c/Ev/HozS2UDM1qIIUSVTXvH1FOdPHn8qm7ekvrL/SPP+ofvy+annSca+VGWafjTvPIf08iWVX9yqooFbZwL06MSBihb72FeWBoTvi9H6+d+ahjBrYs3EAPSFPI1+pHJSlovBdJ+QZX3vKIKYuXst9l43go827OO2eaeyua0CAE6PWedAoF9qUpCkNkiDXVRFJKIlUUseD4j1HB08p1dYpu+ucHmybFBNhJgtBpsd33vB9+c0LS6MTpZCq/Pxl+fOL0l2NU98L/3Xe/kljVOC+3TowZ+WmrGSJS9zB7BUi8kMRGej+/QBYkfGsFkYxpkF061iRNPvVz2H7dE1UXn7RenVux6/HdOTtW8/kuW+dTI9ObTnmgJ6BZiKP1HtLxLLJoClSz6soFwb7AvEFRXHt172DYzpJwf+Rf/eMdK+Qg/buwoRxxyUGE48Z2DNpIp+X16gcxnAiZ8N6h3wtZo9PuKFE2keEa496b4IqmtTKqV2bcs4cku4gmDzmEO/lvHXsEfTrnhyAMqxSH3/WYTz7rZOpKC9j/706Jm48LK+25WWIwA/OPTzcPJXnjyj1/czGsuK9LzV19ax23ai3u369YQ2lbC03mcytfjwFkVpG/rI8a2juSxJ/54xDmDE+uxA8cYnbo/gS8GPg3ziv08vuvlZFEfRERryItKkvV7d2Qoe25RwSYKIJvE7K3XXt4Dz6HiEtubDzzhrSl2tPHsRR+/WINXu9X2dhdbXz9SWFXygTOlSUs7M22VX4ON8aAv9ICXfdsW0bJn79xFCzRxSXjx7I7ZMWJ+07aO/OLFtbnfiduFOfnF3dXk7HiF5U1HvTFJtxLu/j5aMHcvnogU26TlhdX1YmvHuHEzakWDFB/ea5MKXkVbxej8LrTQBs2Znc03V6m/7fpBzPXsawXs/U71SyfF112v586dawXlk+iOxRiEh7Efkm8BOcgexjVXWkqn5TVQvTxzGSyJfySn0ZLz16f356/pBYM2P9/OKS4ZSVSSwlAfCj0R1YePMZQHrl8soNY5j2vcqs8j9i326xwrW/+J1TONjX2ks1l8256TQeudIJsJjoUAQMZm/b5Uy4ymahGj/5qE69WEoLbz4jUZbZELci8u47ToQBr5IOcv9NvmZy+vZu7zlq/ZEohvXvnghr/83Tkk19V4we4Obl/PbC1vhXoqutDx+LOOaAnmlrx+dTH+6/V0fGuD3UQ/t04afu2FyuZdGcZJLwMaAWpwdxFnA48M0Cy1R0huc5tr2f2y4Yyh2T3k5yIYwisSRjE/MNisj5edfbKJKUjLNZMAigbbnQzW0Fpg4t7NW5HXtFmMuawoG9Oyd6S0Fl17tLO9ZtS55w5aXze2cdtX8Pnn97bdq6F1efeAAPvfKuc15ExZqtt+L8H56eUKgd25ZzXeUgzj/S8VDrloO3Wyb5/CTs9jGvO2P8qYHrLURx6mF78/2zD0sb9M+G0wb3CQyI+OOxQ/jx2CF8+g/OJMV9u3dIS+fN32mMVNu4/fOLhuVcxuCYSmev3Bgr7bPfanR/He6b/1KqZFIUg1V1KICI/BHHTbXVokD/zsKfrircGrcXj+zPxTHX2oX8dUtzvk4eW1SFcN2LumKqCeDJr57A9pr0Wa+pFan/rGtPGcQlI/snLTMK8INzBzcqiigZ3Hse3Lcrb320NWN6f8UrItxwZnaLZ+WDuO/Kvt2zizQMjvnKPyu9IETIf7I7KfPQfbow+92NSa7sQfcdpyzeuvWTlJcJD760IraiaGlkUhS13oaq1jXnurnF4oBu5YE+3n7uvmR4s7UCEoPZTSz6XE/P5wSeQpq1g8on1bMl9ZmlnhM0u7q8TNKURBwG9e7ER1t2JZTj+LMO45k3Pubvs9/P+lrNRaqZqKUT9L55XlQPfmEUb360Jcnsk2tQz0KtXFlKZLIjDBeRre7fNmCYty0iW5tDwOYkbkV20cj+WXk7NIWEW2ETjU+5fvz5XKy9UJOBciW1RBKmpyzFDCra5799Cm/++JOJd6q8TBIL/JRaOaSSy6ty4VH9Avfncqte/qMPjDcOloq31kTHAE81z4uqW8eKhNtpo4LMKbs9gkhFoarlqtrV/euiqm1825kXK25hKFq6L0tTexQ5nu/vUfzpS00LtfVYE88P4gB3bkNQSIhMFUDaDOuAHkUcgpS4iCC+mbJCoxdOPpVvPlGfrNnyy88cGThu4Jn/cnn/sl2z3uO2C4byq88cmXWvP189qRJvB+RE6+8z5YkizPRPomcTXd9yNj25b/05w/om7Lu5kro+RT748dgj+OSQPhyxb7gDQti9p+4/snc589bUB84KjyLOPAoRScQZqivU6jJNxKvfirWuSr7o1K4N54f0cILIdhC/ubjnM8PpUFEaVXRpSFEiRLUEqr47pvkE8dG+opzbLxgaGPsoG3L9+L1Z0FET1opJ+4pyTj2sT5Ou4d3ZSf0r+NYlY/Lqruj3rkn49deXdpOzheuJnCm1+77gqHCnlwuOjK8I80GBV3lueYS9K/tHxFEqNJ87dv8m55/rR+CZSYLWEG/pBN1Svn3av3X6IfTs1JbB+3ZtDClRqj2KhFLL47NOtNbjX/MgN7x655gRZptKvtR2czoBnDa4aY2jbDFF4aO023lNIylkdRZGVK9HUYwom00l030myqSA4z+jB+3F/B+eTpf2FZzlhun41LB9w09opWRTh952wVD+fNUxSetxNAfNGRQ0lXEnH0iXEp54V7qSFQHV0rNT5oum9iiC1odoKZRKZ+jA3p0DB3xLjQJ0KLKiQ9tyTjq4aeNhLY3vn3043z/78Izpbj+xA584Oaeg3U3CehRGJN4ayy1xgDNuJdXUOytmSzSKowfm5jzQEp91Jn756eGcMyw64F6+bruQlol9O5fRJ4d5PU2laD0KEfkJMBZn7e21wJXuehSp6a4AfuD+/KmqPlY4qVpvl6LJPYoWaHpqpLCyl2q9+uerjqU6YCZ6Jkr0dprEhSP6c+GI4MHh1mxyzhfF7FHc5S6xeiTwNHBzagIR6Qn8CDgWZ73sH4lI/n0s/XkW8uJFJNdWojePIlM48lKkNfqzZ0P7ivLI0PNh5LNH0ZS5Gc1NU2Xc312h74CIdUtaKkXrUaiqf2Z3J4IV+yeBKaq6EUBEpgBnAn8vjEzp+7q0b8PZQ3KPEV8q5PrtexPGWmKPItOEuziL4MSh5ZVMNIXoIZVqrwvy16A4d1hf9unWPm3FytZAUQezReQ24HJgCxA0UaEf8IHv9yp3X9C1xgHjAPr06UNVVVXW8uzevZu6Wk06997KdsDGnK5XSKqrq7OSadW2RpfMrVu3xj73/feccF/rP1pFVdXabEQEwuVsjvLcttVZrGb+/PlsXZEezqF6t1ND1NfXUVVVlXWZerz00rRmtevnKmdcpk2blrdrffCB8/kuX76CqoYPMqQuDqoNgDBj5gy6t0s2sqxa45judm5aE7vMp63Mr3x+Cv3swyioohCR54H0pbvgJlV9UlVvAm4SkRuB63HMTDmhqg/grOPNqFGjtLKyMutrVLw8hYq2DeRybnNTVVWVlZxL12yD6c462127dqWy8oRY551Q30Dfl1Zw9UkHhK7El5Wck521qpujjO95czps2cyIESMCZ4Vv3rEbXpxCmzYVVFZWZl2m3r2cckpls7oPZy1nTO7usor7pi7Ly7Uf338D/3t5Pu336gcr32XQoAOpLHTU2ByRF53nePzxx7N3l+SB4lNUOejQDzl7aN/EPJhiUqhnn4mCKgpVPS1m0r8Ck0hXFKuBSt/v/kBVkwULoVirdjUHuTZ4K8rL+OqYg/IrTDNx54VDufOZxWlrSeSbEraqZMVFI/snLfLTFI49cC92vl/BononEnOX9rmv81BoxuxXwZPLa+kaIKOIMLaZZ0GXIkVTkSLiX0pqLLA4INmzwBki0sMdxD7D3Vc4uQp58aJSGnd22D7ZxVFqCof37cpjXzomtCfkubV6UV1zpZTt78XmmlMGcevYI/j0qP2KLUoo5x9UwfLbz05bBdFopJhjFHeKyKE47rHvAdcCiMgo4FpVvVpVN7putHPcc271BrYLQevtTxQ/qKHH/752Yl7XuGgK3TpW8N0zDuHsJixob0TTtk1Z2hrepYaItMjIA81JMb2eLgrZPxe42vf7YeDh5pGpOXIpDr27FGbJ0WypKC+jlBpu16eskZwLrWWhH8MIo/ijMyVGa/3ku7Sv4F/XjQZad8/JMIz8Y4rCR2sezIbGMNf5jpBqGEbrxmqMFFqzFWFov26MP+swLs6TZ4thGHsGpih8tO7+hGNLv/aU0vRlNwyjdDHTk5/WrikMwzBywBRFCq3Y8mQYhpETpih8WIfCMAwjHVMUKViPwjAMIxlTFD5au3usYRhGLpii8KFgXQrDMIwUTFGkYHrCMAwjGVMUPszyZBiGkY4pijSsT2EYhuHHFIWPP3xhJCf3t8nqhmEYfkxR+DjlkN7s29mKxDAMw09Rms/uYkRjcRYtWgtcqaofBqSrBxa5P99X1fOaT0rDMAwDitejuEtVh6nqkcDTwM0h6Xaq6pHunykJwzCMIlAURaGqW30/O2HRMwzDMEqWoo3cishtwOXAFmBMSLL2IjIXqAPuVNX/NpN4hmEYhosUKmyFiDwP7BNw6CZVfdKX7kagvar+KOAa/VR1tYgcCLwIfEJVl4fkNw4YB9CnT5+REyZMyEnu6upqOnfunNO5zYnJmX+ylfXKydsBePTMToUSKZCWUqYmZ/4ppKxjxoyZp6qjAg+qalH/gP2BN2KkexS4OM41R44cqbkyderUnM9tTkzO/JOtrANueFoH3PB0YYSJoKWUqcmZfwopKzBXQ+rUYnk9HayqS92fY4HFAWl6ADtUtUZEegEnAD9vRjENI5Knv3Yi89/fVGwxDKPgFGuM4k4RORTHPfY94FoAERkFXKuqVwOHA/eLSAPOoPudqvpWkeQ1jDSG9OvGkH7dii2GYRScoigKVb0oZP9c4Gp3ewYwtDnlMgzDMNKxaciGYRhGJKYoDMMwjEhMURiGYRiRmKIwDMMwIjFFYRiGYURiisIwDMOIxBSFYRiGEUnBYj0VExFZhzORLxd6AevzKE6hMDnzT0uR1eTMLy1FTiisrANUtXfQgVapKJqCiMzVsMBYJYTJmX9aiqwmZ35pKXJC8WQ105NhGIYRiSkKwzAMIxJTFOk8UGwBYmJy5p+WIqvJmV9aipxQJFltjMIwDMOIxHoUhmEYRiSmKAzDMIxI9hhFISJnisgSEVkmIuMDjrcTkcfd47NEZKDv2I3u/iUi8skSkPXbIvKWiLwuIi+IyADfsXoRWeD+PVVkOa8UkXU+ea72HbtCRJa6f1cUWc57fDK+IyKbfceaszwfFpG1IvJGyHERkd+49/G6iIzwHWvO8swk52WufItEZIaIDPcdW+nuXyAic4ssZ6WIbPE935t9xyLfmSLI+j2fnG+472VP91jhyzRsjdTW9AeUA8uBA4G2wEJgcEqarwB/cLcvBR53twe76dsBB7jXKS+yrGOAju72dZ6s7u/qEirTK4HfBpzbE1jh/u/hbvcolpwp6b8GPNzc5enmdTIwgpA15IGzgWcAAY4DZjV3ecaU83gvf+AsT07390qgV4mUZyXwdFPfmeaQNSXtp4AXm7NM95QexTHAMlVdoaq7gQk4a3X7GQs85m4/AXxCRMTdP0FVa1T1XWCZe72iyaqqU1V1h/vzVaB/AeUJI06ZhvFJYIqqblTVTcAU4MwSkfOzwN8LJEskqvoSsDEiyVjgT+rwKtBdRPrSvOWZUU5VneHKAcV7P+OUZxhNebdzIktZm/0d3VMURT/gA9/vVe6+wDSqWgdsAfaKeW4+yTa/q3BamR7tRWSuiLwqIucXQD6PuHJe5JohnhCR/bI8Nx/Ezss14R0AvOjb3VzlGYewe2nudzQbUt9PBZ4TkXkiMq5IMvkZLSILReQZETnC3Vey5SkiHXEaAf/y7S54mRZlzWwjP4jI54FRwCm+3QNUdbWIHAi8KCKLVHV5cSTkf8DfVbVGRK7B6bGdWiRZ4nAp8ISq1vv2lVJ5tihEZAyOojjRt/tEtzz3BqaIyGK3NV0M5uM832oRORv4L3BwkWSJy6eA6arq730UvEz3lB7FamA/3+/+7r7ANCLSBugGbIh5bj6JlZ+InAbcBJynqjXeflVd7f5fAVQBRxVLTlXd4JPtIWBk3HObU04fl5LSpW/G8oxD2L009zuaEREZhvPMx6rqBm+/rzzXAv+hsGbcSFR1q6pWu9uTgAoR6UUJlqePqHe0cGVayAGQUvnD6TmtwDEreINTR6Sk+SrJg9n/cLePIHkwewWFHcyOI+tROINtB6fs7wG0c7d7AUsp0CBcTDn7+rYvAF51t3sC77ry9nC3exZLTjfdYTiDglKM8vTlOZDwwddzSB7Mnt3c5RlTzv1xxvKOT9nfCeji254BnFlEOffxnjdO5fq+W7ax3pnmlNU93g1nHKNTc5dpQW+8lP5wPEbecSvYm9x9t+K0yAHaA/90X/DZwIG+c29yz1sCnFUCsj4PrAEWuH9PufuPBxa5L/Yi4Koiy3kH8KYrz1TgMN+5X3LLehnwxWLK6f6+Bbgz5bzmLs+/Ax8BtTh28auAa4Fr3eMC3OfexyJgVJHKM5OcDwGbfO/nXHf/gW5ZLnTfi5uKLOf1vvfzVXyKLeidKaasbporcRxr/Oc1S5laCA/DMAwjkj1ljMIwDMPIEVMUhmEYRiSmKAzDMIxITFEYhmEYkZiiMAzDMCIxRWG0WlIivy4QX0TglowvKu9D7u9KEXk6Jc2jInJxxDXuEpGPReS7hZbXaPlYCA+jNbNTVY8MOuAGfBRVbWhekfLG46p6fa4nq+r3RGR7PgUyWi/WozD2GERkoLvGwJ+AN4D93Dj/c9zAhT/2pb3JXZviFRH5u9fyFpEqERnlbvcSkZXudrnbSveudY27v9I95wkRWSwif3WVFCJytLtew0IRmS0iXUTkJRE50ifHK/71HHK451G+HtUiEbGJU0bWWI/CaM10EJEF7va7wLdwgr5doaqvisgZ7u9jcGY9PyUiJwPbccK4HInzjcwH5mXI6ypgi6oeLSLtgOki8px77CicUDAfAtOBE0RkNvA48BlVnSMiXYGdwB9xZuB+U0QOAdqr6sIY93qS717BCaPxtKrOde8DEbkLmBzjWoaRhCkKozWTZHpyxyjeU2ctB4Az3L/X3N+dcRRHF+A/6q75IfFWtjsDGOYbF+jmXms3TkymVe61FuDE9NkCfKSqc8AJUOce/yfwQxH5Hk5Yjkdj3uvLqnqu716TzhORz+AsjHNGzOsZRgJTFMaeht8uL8Adqnq/P4GIfDPi/DoaTbbtU671NVV9NuValUCNb1c9Ed+dqu4QkSk4C+V8msaIuzkjIkNwYlmdrMkh1A0jFjZGYezJPAt8SUQ6A4hIPzem/0vA+SLSQUS64KwB4LGSxsr74pRrXSciFe61DhGRThF5LwH6isjRbvoubnh7cILq/QaYo40rxeWEiHTHCTh3uaqua8q1jD0X61EYeyyq+pyIHA7MdMeXq4HPq+p8EXkcJyLnWmCO77RfAP9wVxKb6Nv/EI5Jab47WL0OOD8i792uOeheEemAMz5xGs4a3fNEZCvwSB5ucywwAHjQvUfCPMEMIwyLHmsYGRCRW3Aq8F80U3774iySdFiQ+66IXIkTYjxn91j3OrfQjPdltFzM9GQYJYSIXA7MwllXIGyOx07gLG/CXY753AV8nuQxG8MIxHoUhmEYRiTWozAMwzAiMUVhGIZhRGKKwjAMw4jEFIVhGIYRiSkKwzAMI5L/B5SpxRr0767XAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import math\n",
    "noises=rng.normal(size=t.shape)\n",
    "y_n=y+noises\n",
    "f,pxx=signal.welch(out(y_n),fs,nperseg=4444)\n",
    "Pxx=[]\n",
    "for i in range(0,len(pxx)):\n",
    "    C = math.log10(pxx[i])\n",
    "    Pxx.append(C)\n",
    "\n",
    "plt.figure()\n",
    "plt.plot(f/1000, Pxx)\n",
    "plt.grid()\n",
    "plt.xlabel('Frequency [Hz]')\n",
    "plt.ylabel('Power/frequency(dB/Hz)')"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
